3r^2-2=67.12

Solution for 3r^2-2=67.12 equation:

3r^2-2=67.12

We move all terms to the left:

3r^2-2-(67.12)=0

We add all the numbers together, and all the variables

3r^2-69.12=0

a = 3; b = 0; c = -69.12;
Δ = b2-4ac
Δ = 02-4·3·(-69.12)
Δ = 829.44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{829.44}}{2*3}=\frac{0-\sqrt{829.44}}{6}
=-\frac{\sqrt{}}{6}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{829.44}}{2*3}=\frac{0+\sqrt{829.44}}{6}
=\frac{\sqrt{}}{6}
$