Question

Solve 5x^2 – 2x – 3 = 0 using the quadratic formula.

Answer 1

Given the function

`5x^2-2x-3=0`

We use the general formula for quadratic equations.

Where: a = 5, b = -2 and c = -3

`x=\frac{-(-2)\pm\sqrt[]{(-2)^2-4(5)(-3)}}{2(5)}`

And solve

`\begin{gathered} x=\frac{2\pm\sqrt[]{4+60}}{10} \\ x=\frac{2\pm\sqrt[]{64}}{10} \\ x=(2\pm8)/(10) \end{gathered}`

Separate the solutions

`\begin{gathered} x=(2+8)/(10)=(10)/(10)=1 \\ and \\ x=(2-8)/(10)=(-6)/(10)=-(3)/(5) \end{gathered}`

Answer: B. x = 1, -3/5