What value of p will make the expression below a perfect square? x^2 - x + P

p =

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² - x, that is

x² + 2(- )x + with p = , thus

x² - x = (x - )² +

x^2 - x + 1/4

Step-by-step explanation:

To complete the square

x^2 - x + P

Take the coefficient of x

-1

Divide by 2

-1/2

Then square it

(-1/2)^2

1/4

Add this to complete the square

x^2 - x + 1/4

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions