The value of w is -1 and -5.
The correct option is (B)
<h3>What is equation?</h3>
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.
Learn more about equation here:
brainly.com/question/10413253
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