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9966 [12]
4 years ago
9

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

Mathematics
2 answers:
pentagon [3]4 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]4 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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