HELP ASAP PLEASE :))))))


For what value of p is the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54?
A. -49
B. -7
C. 7
D. 49

Answers

Answer 1

Answer:

p=−12x2+8x+−492

is what I got

Answer 2

The value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

It is given that the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54

That is (x - p)^2 + 5 = x^2 – 14x + 54

Solving for p;

x^2 + p^2 + 5 - 2px =  x^2 – 14x + 54

Combine the like terms;

p^2 + 5 - 2px =– 14x + 54

p^2 - 2px + 14x - 49 = 0

If we put p = 7 then

49 - 14x + 14x - 49 = 0

Therefore, the value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

Learn more about expression here;

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