Find the value of c that completes the square

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

Answer:

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

Step-by-step explanation:

Given

x² - x + c

To complete the square

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

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

= (x - $\frac{1}{2}$ )² ← a perfect square

with c = $\frac{1}{4}$

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