314^2=3.14r^2

Solution for 314^2=3.14r^2 equation:

314^2=3.14r^2

We move all terms to the left:

314^2-(3.14r^2)=0

We add all the numbers together, and all the variables

-(3.14r^2)+98596=0

We get rid of parentheses

-3.14r^2+98596=0

a = -3.14; b = 0; c = +98596;
Δ = b2-4ac
Δ = 02-4·(-3.14)·98596
Δ = 1238365.76
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{1238365.76}}{2*-3.14}=\frac{0-\sqrt{1238365.76}}{-6.28}
=-\frac{\sqrt{}}{-6.28}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1238365.76}}{2*-3.14}=\frac{0+\sqrt{1238365.76}}{-6.28}
=\frac{\sqrt{}}{-6.28}
$