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Solve 2w2 + 12w + 10 = 0 by completing the square

A)

w = –15, w = 5

B)

w = –5, w = –1

C)

w = –5, w = 1

D)

w = 5, w = 1

Sagot :

The value of w is -1 and -5.

The correct option is (B)

What is equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Given:

2w² + 12w + 10 = 0

First, divide through by 2

2w²/2 + 12w /2 + 10/2 =0/2

w² + 6w + 5 = 0

now, Take half of the w term and add - subtract the square of it

w² + 6w + 5 + 3² - 3² = 0

w² + 2*3w + 3² + 5 - 9 = 0

(w+3)² = 4

w+3 = ±2

w = +2 - 3, -2-2

w= -1 and -5.

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