11x^2-x-12=0

Solution for 11x^2-x-12=0 equation:

11x^2-x-12=0

We add all the numbers together, and all the variables

11x^2-1x-12=0

a = 11; b = -1; c = -12;
Δ = b2-4ac
Δ = -12-4·11·(-12)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-23}{2*11}=\frac{-22}{22}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+23}{2*11}=\frac{24}{22}
=1+1/11
$