670=c2

Solution for 670=c2 equation:

670=c2

We move all terms to the left:

670-(c2)=0

We add all the numbers together, and all the variables

-1c^2+670=0

a = -1; b = 0; c = +670;
Δ = b2-4ac
Δ = 02-4·(-1)·670
Δ = 2680
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2680}=\sqrt{4*670}=\sqrt{4}*\sqrt{670}=2\sqrt{670}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{670}}{2*-1}=\frac{0-2\sqrt{670}}{-2}
=-\frac{2\sqrt{670}}{-2}
=-\frac{\sqrt{670}}{-1}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{670}}{2*-1}=\frac{0+2\sqrt{670}}{-2}
=\frac{2\sqrt{670}}{-2}
=\frac{\sqrt{670}}{-1}
$