3r2-2=47.89

Solution for 3r2-2=47.89 equation:

3r^2-2=47.89

We move all terms to the left:

3r^2-2-(47.89)=0

We add all the numbers together, and all the variables

3r^2-49.89=0

a = 3; b = 0; c = -49.89;
Δ = b2-4ac
Δ = 02-4·3·(-49.89)
Δ = 598.68
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{598.68}}{2*3}=\frac{0-\sqrt{598.68}}{6}
=-\frac{\sqrt{}}{6}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{598.68}}{2*3}=\frac{0+\sqrt{598.68}}{6}
=\frac{\sqrt{}}{6}
$