# How do you use quadratic formula to solve 3x^2 - 8x + 5 = 0?

May 12, 2015

A quadratic equation is written in the form:
$a {x}^{2} + b x + c = 0$

The given equation $3 {x}^{2} - 8 x + 5 = 0$
Where:
$a = 3$
$b = - 8$
$c = 5$

The quadratic formula can be used to find the roots of any quadratic equation.

$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

So I encourage you to plug in the values from this equation and simplify.

The answers should be $x = 1 \mathmr{and} x = \frac{5}{3}$