17510=x2

Solution for 17510=x2 equation:

17510=x2

We move all terms to the left:

17510-(x2)=0

We add all the numbers together, and all the variables

-1x^2+17510=0

a = -1; b = 0; c = +17510;
Δ = b2-4ac
Δ = 02-4·(-1)·17510
Δ = 70040
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:

$\sqrt{\Delta}=\sqrt{70040}=\sqrt{4*17510}=\sqrt{4}*\sqrt{17510}=2\sqrt{17510}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{17510}}{2*-1}=\frac{0-2\sqrt{17510}}{-2}
=-\frac{2\sqrt{17510}}{-2}
=-\frac{\sqrt{17510}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{17510}}{2*-1}=\frac{0+2\sqrt{17510}}{-2}
=\frac{2\sqrt{17510}}{-2}
=\frac{\sqrt{17510}}{-1}
$