9x^2=34^2

Solution for 9x^2=34^2 equation:

9x^2=34^2

We move all terms to the left:

9x^2-(34^2)=0

We add all the numbers together, and all the variables

9x^2-1156=0

a = 9; b = 0; c = -1156;
Δ = b2-4ac
Δ = 02-4·9·(-1156)
Δ = 41616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41616}=204$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-204}{2*9}=\frac{-204}{18}
=-11+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+204}{2*9}=\frac{204}{18}
=11+1/3
$