608679=x*x

Solution for 608679=x*x equation:

608679=x*x

We move all terms to the left:

608679-(x*x)=0

We add all the numbers together, and all the variables

-(+x*x)+608679=0

We get rid of parentheses

-x*x+608679=0

Wy multiply elements

-1x^2+608679=0

a = -1; b = 0; c = +608679;
Δ = b2-4ac
Δ = 02-4·(-1)·608679
Δ = 2434716
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:

$\sqrt{\Delta}=\sqrt{2434716}=\sqrt{36*67631}=\sqrt{36}*\sqrt{67631}=6\sqrt{67631}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{67631}}{2*-1}=\frac{0-6\sqrt{67631}}{-2}
=-\frac{6\sqrt{67631}}{-2}
=-\frac{3\sqrt{67631}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{67631}}{2*-1}=\frac{0+6\sqrt{67631}}{-2}
=\frac{6\sqrt{67631}}{-2}
=\frac{3\sqrt{67631}}{-1}
$