112x^2-175=0

Solution for 112x^2-175=0 equation:

112x^2-175=0

a = 112; b = 0; c = -175;
Δ = b2-4ac
Δ = 02-4·112·(-175)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*112}=\frac{-280}{224}
=-1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*112}=\frac{280}{224}
=1+1/4
$