11x2=73

Solution for 11x2=73 equation:

11x^2=73

We move all terms to the left:

11x^2-(73)=0

a = 11; b = 0; c = -73;
Δ = b2-4ac
Δ = 02-4·11·(-73)
Δ = 3212
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:

$\sqrt{\Delta}=\sqrt{3212}=\sqrt{4*803}=\sqrt{4}*\sqrt{803}=2\sqrt{803}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{803}}{2*11}=\frac{0-2\sqrt{803}}{22}
=-\frac{2\sqrt{803}}{22}
=-\frac{\sqrt{803}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{803}}{2*11}=\frac{0+2\sqrt{803}}{22}
=\frac{2\sqrt{803}}{22}
=\frac{\sqrt{803}}{11}
$