Question
$$5(x-3)^2 = 28$$
Answer
$$ \begin{matrix}x_1 = 3-\dfrac{ 2 \sqrt{ 35}}{ 5 } & x_2 = 3+\dfrac{ 2 \sqrt{ 35}}{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5(x-3)^2 &= 28&& \text{simplify left side} \\[1 em]5(x^2-6x+9) &= 28&& \\[1 em]5x^2-30x+45 &= 28&& \text{move all terms to the left hand side } \\[1 em]5x^2-30x+45-28 &= 0&& \text{simplify left side} \\[1 em]5x^2-30x+17 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}-30x+17 = 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
Equations Solver