1808.64=32.14r2

Solution for 1808.64=32.14r2 equation:

1808.64=32.14r^2

We move all terms to the left:

1808.64-(32.14r^2)=0

We get rid of parentheses

-32.14r^2+1808.64=0

a = -32.14; b = 0; c = +1808.64;
Δ = b2-4ac
Δ = 02-4·(-32.14)·1808.64
Δ = 232518.7584
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{232518.7584}}{2*-32.14}=\frac{0-\sqrt{232518.7584}}{-64.28}
=-\frac{\sqrt{}}{-64.28}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{232518.7584}}{2*-32.14}=\frac{0+\sqrt{232518.7584}}{-64.28}
=\frac{\sqrt{}}{-64.28}
$