Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

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asked Jan 15, 2018 114k views

2 Answers

Roman Traversine · Answer 1 · 2018-01-19T02:25:09+0000

x^2 + 6x = 7
Divide 6 by 2 and square the result and add to both sides of the equation.
6/2 = 3 3^2 = 9 x^2 + 6x + 9 = 7 + 9
x^2 + 6x + 9 = 16
(x+3)^2 = 16
x+3 = +- Sqrt 16) = +-4
x = -3+4 = 1
x = -3-4 = -7

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

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