Question
$$40+\frac{d^2}{25} = 0$$
Answer
$$ \begin{matrix}d_1 = 10 \sqrt{ 10 } i & d_2 = -10 \sqrt{ 10 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 40+\frac{d^2}{25} &= 0&& \text{multiply ALL terms by } \color{blue}{ 25 }. \\[1 em]25\cdot40+25 \cdot \frac{d^2}{25} &= 25\cdot0&& \text{cancel out the denominators} \\[1 em]1000+d^2 &= 0&& \text{simplify left side} \\[1 em]d^2+1000 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+1000 = 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