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3 years ago

Find the values of a and b such that x^2-x+5=(x-a)^2+b

Mathematics

1 answer:

Romashka [77]3 years ago

5 0

Answer:

a = 0.5 or 1/2

b = 19/4 or 4.75

Step-by-step explanation:

Step 1: Isolate <em>x</em>'s

x² - x = -5

Step 2: Complete the Square

x² - x + 1/4 = -5 + 1/4

(x - 1/2)² = -19/4

Step 3: Move everything to one side

(x - 0.5)² + 4.75

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