121x^2=81

Solution for 121x^2=81 equation:

121x^2=81

We move all terms to the left:

121x^2-(81)=0

a = 121; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·121·(-81)
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*121}=\frac{-198}{242}
=-9/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+198}{2*121}=\frac{198}{242}
=9/11
$