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

May 7, 2015

Consider your equation in the general form $a {x}^{2} - b x + c = 0$
Where you have:
$a = 3$
$b = 0$
$c = - 8$
Now you can apply the quadratic formula:
${x}_{1 , 2} = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$
Try by yourself: you should get two results. If you do not get them look at the solution below:
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Solution:
${x}_{1} = \frac{\sqrt{96}}{6} = 1.633$
${x}_{2} = - \frac{\sqrt{96}}{6} = - 1.633$