22x^2-81x-81=0

Solution for 22x^2-81x-81=0 equation:

22x^2-81x-81=0

a = 22; b = -81; c = -81;
Δ = b2-4ac
Δ = -812-4·22·(-81)
Δ = 13689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13689}=117$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-117}{2*22}=\frac{-36}{44}
=-9/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+117}{2*22}=\frac{198}{44}
=4+1/2
$