Question
$$30t^2-\frac{676}{10}t-\frac{1485}{10} = 0$$
Answer
$$ \begin{matrix}t_1 = \dfrac{ 169 }{ 150 }-\dfrac{ 2 \sqrt{ 8746}}{ 75 } & t_2 = \dfrac{ 169 }{ 150 }+\dfrac{ 2 \sqrt{ 8746}}{ 75 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 30t^2-\frac{676}{10}t-\frac{1485}{10} &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot30t^2-10 \cdot \frac{676}{10}t-10\cdot\frac{1485}{10} &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]300t^2-676t-1485 &= 0&& \\[1 em] \end{aligned} $$
$ 300x^{2}-676x-1485 = 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