x^2=143183

Solution for x^2=143183 equation:

x^2=143183

We move all terms to the left:

x^2-(143183)=0

a = 1; b = 0; c = -143183;
Δ = b2-4ac
Δ = 02-4·1·(-143183)
Δ = 572732
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:

$\sqrt{\Delta}=\sqrt{572732}=\sqrt{4*143183}=\sqrt{4}*\sqrt{143183}=2\sqrt{143183}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{143183}}{2*1}=\frac{0-2\sqrt{143183}}{2}
=-\frac{2\sqrt{143183}}{2}
=-\sqrt{143183}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{143183}}{2*1}=\frac{0+2\sqrt{143183}}{2}
=\frac{2\sqrt{143183}}{2}
=\sqrt{143183}
$