33.4084=x^2

Solution for 33.4084=x^2 equation:

33.4084=x^2

We move all terms to the left:

33.4084-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+33.4084=0

a = -1; b = 0; c = +33.4084;
Δ = b2-4ac
Δ = 02-4·(-1)·33.4084
Δ = 133.6336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{133.6336}}{2*-1}=\frac{0-\sqrt{133.6336}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{133.6336}}{2*-1}=\frac{0+\sqrt{133.6336}}{-2}
=\frac{\sqrt{}}{-2}
$