112n^2-567=0

Solution for 112n^2-567=0 equation:

112n^2-567=0

a = 112; b = 0; c = -567;
Δ = b2-4ac
Δ = 02-4·112·(-567)
Δ = 254016
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{254016}=504$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-504}{2*112}=\frac{-504}{224}
=-2+1/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+504}{2*112}=\frac{504}{224}
=2+1/4
$