11x2-x-10=0

Solution for 11x2-x-10=0 equation:

11x^2-x-10=0

We add all the numbers together, and all the variables

11x^2-1x-10=0

a = 11; b = -1; c = -10;
Δ = b2-4ac
Δ = -12-4·11·(-10)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-21}{2*11}=\frac{-20}{22}
=-10/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+21}{2*11}=\frac{22}{22}
=1
$