Question

Complete the square for 2x^2-4x=14

Answer 1

2x² - 4x = 14

Divide by 2 through:

x² - 2x = 7

Add in the term (b/2)² :

x² - 2x + (2/2)² = 7 + (2/2)²

Complete the square:

(x - 1)² = 7 + 1

Combine like terms:

(x - 1)² = 8

Answer: (x - 1)² = 8

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The question did not ask to solve x. But here is the solution if needed to solve x:

(x - 1)² = 8

x - 1 = ±√8

x = 1 ±√+8

x =1 + 2√2 or x = 1 - 2√2

Answer: x =1 + 2√2 or x = 1 - 2√2

Answer 2

Answer:

Step-by-step explanation: