Question
$$\frac{3}{5}x^2-\frac{7}{2}x+1 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 35 }{ 12 }-\dfrac{\sqrt{ 985 }}{ 12 } & x_2 = \dfrac{ 35 }{ 12 }+\dfrac{\sqrt{ 985 }}{ 12 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{3}{5}x^2-\frac{7}{2}x+1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{3}{5}x^2-10\frac{7}{2}x+10\cdot1 &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]6x^2-35x+10 &= 0&& \\[1 em] \end{aligned} $$
$ 6x^{2}-35x+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
Equations Solver