Question
$$(x+1)^2 = -9$$
Answer
$$ \begin{matrix}x_1 = -1+3i & x_2 = -1-3i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x+1)^2 &= -9&& \text{simplify left side} \\[1 em]x^2+2x+1 &= -9&& \text{move all terms to the left hand side } \\[1 em]x^2+2x+1+9 &= 0&& \text{simplify left side} \\[1 em]x^2+2x+10 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+2x+10 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Polynomial Equations Solver