9a^2-22=0

Solution for 9a^2-22=0 equation:

9a^2-22=0

a = 9; b = 0; c = -22;
Δ = b2-4ac
Δ = 02-4·9·(-22)
Δ = 792
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{792}=\sqrt{36*22}=\sqrt{36}*\sqrt{22}=6\sqrt{22}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{22}}{2*9}=\frac{0-6\sqrt{22}}{18}
=-\frac{6\sqrt{22}}{18}
=-\frac{\sqrt{22}}{3}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{22}}{2*9}=\frac{0+6\sqrt{22}}{18}
=\frac{6\sqrt{22}}{18}
=\frac{\sqrt{22}}{3}
$