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

Ronald Miller

in Mathematics

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Ashley Howard on January 14, 2018

So first you have to find the perfect square that coincides with x^2 + 6xso half of 6, and square. your perfect square is 9x^2 + 6x + 9 = 7 + 9then, condense the left side of the equation in a squared binomial:(x + 3)^2 = 16take the square root of both sides:x + 3 = ± √16therefore:x + 3 = ± 4x = - 3 ± 4so its solution set is:x = 1, -7


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