Respuesta :

Answer:

p = [tex]\frac{1}{4}[/tex]

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(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] with p = [tex]\frac{1}{4}[/tex] , thus

x² - x = (x - [tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}4}[/tex]

Answer:

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

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