11^3-11x^2+10x=0

Solution for 11^3-11x^2+10x=0 equation:

11^3-11x^2+10x=0

We add all the numbers together, and all the variables

-11x^2+10x+1331=0

a = -11; b = 10; c = +1331;
Δ = b2-4ac
Δ = 102-4·(-11)·1331
Δ = 58664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{58664}=\sqrt{4*14666}=\sqrt{4}*\sqrt{14666}=2\sqrt{14666}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{14666}}{2*-11}=\frac{-10-2\sqrt{14666}}{-22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{14666}}{2*-11}=\frac{-10+2\sqrt{14666}}{-22}
$