256r^2=361

Solution for 256r^2=361 equation:

256r^2=361

We move all terms to the left:

256r^2-(361)=0

a = 256; b = 0; c = -361;
Δ = b2-4ac
Δ = 02-4·256·(-361)
Δ = 369664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{369664}=608$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-608}{2*256}=\frac{-608}{512}
=-1+3/16
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+608}{2*256}=\frac{608}{512}
=1+3/16
$