9x^2=1089

Solution for 9x^2=1089 equation:

9x^2=1089

We move all terms to the left:

9x^2-(1089)=0

a = 9; b = 0; c = -1089;
Δ = b2-4ac
Δ = 02-4·9·(-1089)
Δ = 39204
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{39204}=198$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-198}{2*9}=\frac{-198}{18}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+198}{2*9}=\frac{198}{18}
=11
$