11x^2-12-44=0

Solution for 11x^2-12-44=0 equation:

11x^2-12-44=0

We add all the numbers together, and all the variables

11x^2-56=0

a = 11; b = 0; c = -56;
Δ = b2-4ac
Δ = 02-4·11·(-56)
Δ = 2464
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:

$\sqrt{\Delta}=\sqrt{2464}=\sqrt{16*154}=\sqrt{16}*\sqrt{154}=4\sqrt{154}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{154}}{2*11}=\frac{0-4\sqrt{154}}{22}
=-\frac{4\sqrt{154}}{22}
=-\frac{2\sqrt{154}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{154}}{2*11}=\frac{0+4\sqrt{154}}{22}
=\frac{4\sqrt{154}}{22}
=\frac{2\sqrt{154}}{11}
$