22*x*x=81

Solution for 22*x*x=81 equation:

22x*x=81

We move all terms to the left:

22x*x-(81)=0

Wy multiply elements

22x^2-81=0

a = 22; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·22·(-81)
Δ = 7128
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:

$\sqrt{\Delta}=\sqrt{7128}=\sqrt{324*22}=\sqrt{324}*\sqrt{22}=18\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{22}}{2*22}=\frac{0-18\sqrt{22}}{44}
=-\frac{18\sqrt{22}}{44}
=-\frac{9\sqrt{22}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{22}}{2*22}=\frac{0+18\sqrt{22}}{44}
=\frac{18\sqrt{22}}{44}
=\frac{9\sqrt{22}}{22}
$