x2=8(10+8)

Solution for x2=8(10+8) equation:

x2=8(10+8)

We move all terms to the left:

x2-(8(10+8))=0

We add all the numbers together, and all the variables

x2-(818)=0

We add all the numbers together, and all the variables

x^2-818=0

a = 1; b = 0; c = -818;
Δ = b2-4ac
Δ = 02-4·1·(-818)
Δ = 3272
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:

$\sqrt{\Delta}=\sqrt{3272}=\sqrt{4*818}=\sqrt{4}*\sqrt{818}=2\sqrt{818}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{818}}{2*1}=\frac{0-2\sqrt{818}}{2}
=-\frac{2\sqrt{818}}{2}
=-\sqrt{818}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{818}}{2*1}=\frac{0+2\sqrt{818}}{2}
=\frac{2\sqrt{818}}{2}
=\sqrt{818}
$