18x2+1=792+2

Solution for 18x2+1=792+2 equation:

18x^2+1=792+2

We move all terms to the left:

18x^2+1-(792+2)=0

We add all the numbers together, and all the variables

18x^2+1-794=0

We add all the numbers together, and all the variables

18x^2-793=0

a = 18; b = 0; c = -793;
Δ = b2-4ac
Δ = 02-4·18·(-793)
Δ = 57096
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:

$\sqrt{\Delta}=\sqrt{57096}=\sqrt{36*1586}=\sqrt{36}*\sqrt{1586}=6\sqrt{1586}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{1586}}{2*18}=\frac{0-6\sqrt{1586}}{36}
=-\frac{6\sqrt{1586}}{36}
=-\frac{\sqrt{1586}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{1586}}{2*18}=\frac{0+6\sqrt{1586}}{36}
=\frac{6\sqrt{1586}}{36}
=\frac{\sqrt{1586}}{6}
$