Question

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

{–7, 1}
(negative 3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
(3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
{1, 7}

Answer 1

Solve x^2 + 6x = 7 by completing the square:

x^2 + 6x + 9 = 7 + 9
(x + 3)^2 = 16
x + 3 = ±4
x = -3 ± 4 → x = 1 or x = -7

Solution set: {–7, 1}