x*x=176633

Solution for x*x=176633 equation:

x*x=176633

We move all terms to the left:

x*x-(176633)=0

Wy multiply elements

x^2-176633=0

a = 1; b = 0; c = -176633;
Δ = b2-4ac
Δ = 02-4·1·(-176633)
Δ = 706532
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:

$\sqrt{\Delta}=\sqrt{706532}=\sqrt{4*176633}=\sqrt{4}*\sqrt{176633}=2\sqrt{176633}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{176633}}{2*1}=\frac{0-2\sqrt{176633}}{2}
=-\frac{2\sqrt{176633}}{2}
=-\sqrt{176633}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{176633}}{2*1}=\frac{0+2\sqrt{176633}}{2}
=\frac{2\sqrt{176633}}{2}
=\sqrt{176633}
$