60*r^2=92

Solution for 60*r^2=92 equation:

60r^2=92

We move all terms to the left:

60r^2-(92)=0

a = 60; b = 0; c = -92;
Δ = b2-4ac
Δ = 02-4·60·(-92)
Δ = 22080
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{22080}=\sqrt{64*345}=\sqrt{64}*\sqrt{345}=8\sqrt{345}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{345}}{2*60}=\frac{0-8\sqrt{345}}{120}
=-\frac{8\sqrt{345}}{120}
=-\frac{\sqrt{345}}{15}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{345}}{2*60}=\frac{0+8\sqrt{345}}{120}
=\frac{8\sqrt{345}}{120}
=\frac{\sqrt{345}}{15}
$