X*y=205153

Solution for X*y=205153 equation:

X*X=205153

We move all terms to the left:

X*X-(205153)=0

Wy multiply elements

X^2-205153=0

a = 1; b = 0; c = -205153;
Δ = b2-4ac
Δ = 02-4·1·(-205153)
Δ = 820612
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:

$\sqrt{\Delta}=\sqrt{820612}=\sqrt{4*205153}=\sqrt{4}*\sqrt{205153}=2\sqrt{205153}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{205153}}{2*1}=\frac{0-2\sqrt{205153}}{2}
=-\frac{2\sqrt{205153}}{2}
=-\sqrt{205153}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{205153}}{2*1}=\frac{0+2\sqrt{205153}}{2}
=\frac{2\sqrt{205153}}{2}
=\sqrt{205153}
$