Y^3-y^2-30y=0

Solution for Y^3-y^2-30y=0 equation:

^3-Y^2-30Y=0

We add all the numbers together, and all the variables

-1Y^2-30Y=0

a = -1; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·(-1)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*-1}=\frac{0}{-2}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*-1}=\frac{60}{-2}
=-30
$