Question

Given quadratic equation: 5x^2 -3x -4
Solve the quadratic equation using the quadratic formula

Answer 1

Dear student

$$\begin{gathered} \mathrm{Let}5{\mathrm{x}}^2-3\mathrm{x}-4=0 \\ \mathrm{Here}\mathrm{a}=5,\mathrm{b}=-3\mathrm{and}\mathrm{c}=-4 \\ \mathrm{So},\mathrm{x}=\frac{-\left(-3\right)\pm \sqrt{{\left(-3\right)}^2-4\left(5\right)\left(-4\right)}}{2\left(5\right)} \\ \Rightarrow \mathrm{x}=\frac{3\pm \sqrt{9+80}}{10} \\ \Rightarrow \mathrm{x}=\frac{3\pm \sqrt{89}}{10} \end{gathered}$$