0=x2+8-166

Solution for 0=x2+8-166 equation:

0=x2+8-166

We move all terms to the left:

0-(x2+8-166)=0

We add all the numbers together, and all the variables

-(+x^2+8-166)+0=0

We add all the numbers together, and all the variables

-(+x^2+8-166)=0

We get rid of parentheses

-x^2-8+166=0

We add all the numbers together, and all the variables

-1x^2+158=0

a = -1; b = 0; c = +158;
Δ = b2-4ac
Δ = 02-4·(-1)·158
Δ = 632
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:

$\sqrt{\Delta}=\sqrt{632}=\sqrt{4*158}=\sqrt{4}*\sqrt{158}=2\sqrt{158}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{158}}{2*-1}=\frac{0-2\sqrt{158}}{-2}
=-\frac{2\sqrt{158}}{-2}
=-\frac{\sqrt{158}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{158}}{2*-1}=\frac{0+2\sqrt{158}}{-2}
=\frac{2\sqrt{158}}{-2}
=\frac{\sqrt{158}}{-1}
$