Question

For what value of p is the expression (x-p)^2 +7 equivalent to the expression x^2-6x+16?​

Answer 1

3

Explanation:

1. if to evaluate the equation:

(x-p)²+7=x²-6x+16;

x²-2xp+p²+7=x²-6x+16;

2. then it is possible to write

-2p= -6 or p²+7=16, from where

p=3

Answer 2

• p = 3

Explanation:

Rewrite the right side of the equation:

• x² - 6x + 16 =
• x² - 2*3*x + 3² + 7 =
• (x - 3)² + 7

Comparing with the left side we see that p = 3