Answers
Answer:
x^2 - 4x + 5 = 0
Step-by-step explanation:
:)
x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.
What are roots of a quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
Given (2 + i) and (2 - i) are roots of the quadratic equation.
Let the quadratic equation be f(x).
(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).
Since, f(x) is a quadratic equation, it has only two roots.
f(x) = (x - (2 + i))(x - (2 - i))
f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)
f(x) = x² - 2x + ix - 2x - ix + 4 - i²
f(x) = x² - 4x + 4 + 1
f(x) = x² - 4x + 5
Learn more about roots of quadratic equation here
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Related Questions
if you help me ilysm
Answers
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \displaystyle y=3x - 1y=3x−1.
To find the x-intercept, set \displaystyle y=0y=0.
y
=
3
x
−
1
0
=
3
x
−
1
1
=
3
x
1
3
=
x
(
1
3
,
0
)
x
-intercept
To find the y-intercept, set \displaystyle x=0x=0.
y
=
3
x
−
1
y
=
3
(
0
)
−
1
y
=
−
1
(
0
,
−
1
)
y
-intercept
We can confirm that our results make sense by observing a graph of the equation as in Figure 10. Notice that the graph crosses the axes where we predicted it would.
This is an image of a line graph on an x, y coordinate plane. The x and y-axis range from negative 4 to 4. The function y = 3x – 1 is plotted on the coordinate plane
Figure 12
HOW TO: GIVEN AN EQUATION, FIND THE INTERCEPTS.
Find the x-intercept by setting \displaystyle y=0y=0 and solving for \displaystyle xx.
Find the y-intercept by setting \displaystyle x=0x=0 and solving for \displaystyle yy.
EXAMPLE 4: FINDING THE INTERCEPTS OF THE GIVEN EQUATION
Find the intercepts of the equation \displaystyle y=-3x - 4y=−3x−4. Then sketch the graph using only the intercepts.
SOLUTION
Set \displaystyle y=0y=0 to find the x-intercept.
y
=
−
3
x
−
4
0
=
−
3
x
−
4
4
=
−
3
x
−
4
3
=
x
(
−
4
3
,
0
)
x
-intercept
Set \displaystyle x=0x=0 to find the y-intercept.
y
=
−
3
x
−
4
y
=
−
3
(
0
)
−
4
y
=
−
4
(
0
,
−
4
)
y
-intercept
Plot both points, and draw a line passing through them as in Figure 11.
This is an image of a line graph on an x, y coordinate plane. The x-axis ranges from negative 5 to 5. The y-axis ranges from negative 6 to 3. The line passes through the points (-4/3, 0) and (0, -4).
Figure 13
Answer:
x-intercept
Step-by-step explanation:
The x-intercept is the point on the line that crosses the x-axis, shown in the graph in the picture.
What value(s) of x make the equation x2 - 18x + 81 = 0 true?
9
-9, 9
0, 9
0, -9, 9
Answers
Answer:
the answer is 9
Step-by-step explanation:
just took a test about it
Answer:
A. 9
Step-by-step explanation:
100% correct on edge
please mark brainliest:)
Express the following relationship as a rate.
Reading 30 pages in 10 minutes
O 30 pages per hour
O 30 pages per minute
O3 pages per minute
O 10 pages per minute
Answers
Explanation: Thirty pages divided by 10 minutes gives you 3 pages per minute.
1st min you should read pages 1,23
2nd min 4,5,6
so on and so on.
Which graph represents a function
Answers
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
If b=79° and c=83°
Work out angle a and d.
(15points)
Answers
Answer:
????????????????????
Answer:
A = 101 degrees d = 97 degrees
Step-by-step explanation:
180 - 79 = 101 as angles in a straight line = 180
101 + 79 + 83 = 263
360 - 263 = 97 degrees
h(x) = -5(x-1)^2(X+2)
what is the degree, leading coefficient, and y-intercept?
Answers
Answer:
-10 leading coe and (0, 20) y intercept i think
I need number 7 and 9 please show work if you can
Answers
Answer:. sum of interior angles:
Heptagon: 900°
14gon 2160°
Step-by-step explanation: Divide 360 by the number of sides to get the measure of the average or regular central angle (same as an exterior angle)
360/7 = 51.43 360/14 = 25.7.
Subtract from 180 to find the interior angle.
180 - 51.43 = 128.57
180 - 25.7 = 154.3
Multiply the measure of the interior angle by the number of sides to find the sum of the interior angles.
128.57× 7 = 900
154.3 × 14 = 2160
Solve the following equation for g.
Rg=m+h^2g
Answers
Answer:
G=m/r-h^2
Step-by-step explanation:
move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!
Ms. Franco bought her daughter a new scooter. The scooter cost $40.00. Sales tax was
7.5%. What was the total price Ms. Franco paid for the scooter? ASAP please
Answers
Answer: $43.00
Step-by-step explanation:
40.00 + 40.00 ÷ 100 × 7.5 = 43.00
Write an equation and solve. Round to the nearest hundredth where necessary.
What is 25% of 96?
A.) n • 0.25 = 96; 384
B.) n = 0.25 • 96; 24
C.) n = 25 • 0.96; 24
D.) n = 25 • 96; 2400
Answers
Answer:
see explanation
Step-by-step explanation:
I think its c n=25. 0.96; 24
Please help with these problems..
at least one.
Answers
Answer:
4(5q-8), q=6
4(5(6)-8)=
4(30-8)=
4(22)=
88
r+(-8)/2. r=12
12+(-8)/2=
4/2=
=2
(11b+4)/9. b=7
(11(7)+4)/9=
(77+4)/9=
(81)/9=
9
Step-by-step explanation:
URGENT
question is in the photo :)
Answers
1. b¹²
2. 2x⁴
3. 3x³
4. 6x¹¹
5. 10x⁹
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answers
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
If y = x + 5 and y = 11, then x = what?
Answers
Answer:
6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
y(11)= x + 5
-5 -5
6= x or x = 6
Hope this helps!!
14 dollars for 4 books
Answers
Answer:
ur question
Step-by-step explanation:
dunno
If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 615 students?
Answers
Answer: 123 students
Step-by-step explanation:
2/10 is 20% so you'd take 615 x 0.20 which is 123.
If a beetle crawls at a constant rate of 3 feet per minute, how long, in minutes, will it take the beetle to travel 75 feet?
A. 25 min.
B. 72 min.
C.78 min.
D. 225 min.
Answers
3/1=75/x
x=25
Answer:
A. 25 minutes
Step-by-step explanation:
3ft/min = 75ft/?min
75ft ÷ 3ft = 25min
it will take the beetle 25 minutes to travel 75 feet.
Write in standard form. a) 2 4 b) 10 3 c) 3 5 d) 7 3 e) 2 8 f) 4 1
PLZ HELP!!!!!
Answers
24 x 10
b)
103
103 x 10
C) 35
35 x 10
D) 73
73 x 10
E) 28
28 x 10
F) 41
41 x 10
Your uncle gives you $10 and you save $2 a week. The expression 10 + 2w gives the amount you save after w weeks. How many terms are in the expression What is the coefficient in the expression
Answers
Answer:
2 terms
Step-by-step explanation:
Step one:
given data
we are told that your uncle gives you $10 and you save $2 a week
the expression for the situation is
let the total be y
[tex]y=10 + 2w[/tex]
From the expression, there are two terms
the first term is the constant term which is 10
while the second term is 2w, the coefficient is 2
SOMEONE DO NUMBER 1 FOR ME IM RUSHING. GIVING BRAINLIEST!!
Answers
Answer:
Step-by-step explanation:
Mixed number Improper fraction
a) 1 + 1 + 1/3 = [tex]2\frac{1}{3}[/tex] 7/3
b) 1 + 1 + 1 + 5/8 = [tex]3\frac{5}{8}[/tex] 29/8
c) 1 + 1 + 1 +2/4 = [tex]3\frac{2}{4}[/tex] 14/4
NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
A.) 20.6 units
B.) 4 units
C.) 19.4 units
D.) 5 units
Answers
Mary earned 24 points on her science test. The total points on the test was 30 points. What is Mary’s test score as a percent? Show work
Answers
Answer:
80%
Step-by-step explanation:
24 devided by 30 = 0.8
0.8 times 100 = 80%
Answer:
80%
Step-by-step explanation:
take the number you got and divide it by how many it was out of and then move the decimal two points to the right. 24/30= 0.8 then move the decimal and get 80 and add the percent sign.
What statement is true about a function
Answers
Answer:
d is the answer ok :)
Step-by-step explanation:
I really need help for this geometry question, I would appreciate any help thank you.
Answers
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
8. The direction of current in the Fleming's left hand rule is given by
A: thumb
B: middle finger
C: index finger
D: little finger
Answers
Answer:
B: middle finger
Step-by-step explanation:
Fleming's Left Hand Rule states "that when you hold out your left hand with the forefinger, second finger and thumb mutuallly at the right angle to one another. If the forefinger represents the direction of the field and the second finger represents that of the current, then thumb gives the direction of the force"
The answer is B. middle finger
Translate the sentence Into an equation.
Twice the difference of a number and 9 equals 7.
Use the variable b for the unknown number.
Answers
Answer: b - 9 = 7.
Step-by-step explanation:
Find the volume of the figure in cubic centimeters.
Answers
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
Evaluate f(2) if f(x) = -2x + 7
Answers
[tex]f(2)= -2x+7\\f(2)= -2.2+7\\-4+7=3[/tex]
Fun fact
An apple, potato, and onion all taste the same if you eat them with your nose plugged
Pls answer this question with explanation
Answers
Answer:
345°
Step-by-step explanation:
If a circle is 360° you would then have to take 15° away from 360° and get the answer of 345°
*
Select the expression that is equivalent to 5/8.
O
5=8
O 8-5
O 8-5
0 5-8
Answers
i dont see that here
Answer:
The right answer isnt there
Step-by-step explanation: