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

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

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

shutvik [7]3 years ago

6 0

Answer:

p = $\frac{1}{4}$

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(- $\frac{1}{2}$ )x + $\frac{1}{4}$ with p = $\frac{1}{4}$ , thus

x² - x = (x - $\frac{1}{2}$ )² + $\frac{1}4}$

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