252n^2-175=0

Solution for 252n^2-175=0 equation:

252n^2-175=0

a = 252; b = 0; c = -175;
Δ = b2-4ac
Δ = 02-4·252·(-175)
Δ = 176400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{176400}=420$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-420}{2*252}=\frac{-420}{504}
=-5/6
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+420}{2*252}=\frac{420}{504}
=5/6
$