Complete the square for 2x2 – 4x = 14? A. (2x – 2)2 = 30 B. (2x – 1)2 = 15 C. (x – 1)2 = 8 D. (x + 1)2 = 8

1 Answer
Shubh
Apr 16, 2018

C.

Explanation:

2x^2-4x=14
Firstly, divide the equation by 2 so that coeffecient of x^2=1
x^2-2x=7
Now, add the square of half the coeffecient of x both sides i.e.
x^2-2x+(2/2)^2=7+(2/2)^2
x^2-2x+1=8
as, x^2-2x=8 is the identity of (x-1)^2
so, (x-1)^2=8
so correct answer is C.

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