2y^2-125y=0

Solution for 2y^2-125y=0 equation:

2y^2-125y=0

a = 2; b = -125; c = 0;
Δ = b2-4ac
Δ = -1252-4·2·0
Δ = 15625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15625}=125$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-125)-125}{2*2}=\frac{0}{4}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-125)+125}{2*2}=\frac{250}{4}
=62+1/2
$