x*x=664

Solution for x*x=664 equation:

x*x=664

We move all terms to the left:

x*x-(664)=0

Wy multiply elements

x^2-664=0

a = 1; b = 0; c = -664;
Δ = b2-4ac
Δ = 02-4·1·(-664)
Δ = 2656
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:

$\sqrt{\Delta}=\sqrt{2656}=\sqrt{16*166}=\sqrt{16}*\sqrt{166}=4\sqrt{166}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{166}}{2*1}=\frac{0-4\sqrt{166}}{2}
=-\frac{4\sqrt{166}}{2}
=-2\sqrt{166}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{166}}{2*1}=\frac{0+4\sqrt{166}}{2}
=\frac{4\sqrt{166}}{2}
=2\sqrt{166}
$