9(63)=x2

Solution for 9(63)=x2 equation:

9(63)=x2

We move all terms to the left:

9(63)-(x2)=0

We add all the numbers together, and all the variables

-1x^2+963=0

a = -1; b = 0; c = +963;
Δ = b2-4ac
Δ = 02-4·(-1)·963
Δ = 3852
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:

$\sqrt{\Delta}=\sqrt{3852}=\sqrt{36*107}=\sqrt{36}*\sqrt{107}=6\sqrt{107}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{107}}{2*-1}=\frac{0-6\sqrt{107}}{-2}
=-\frac{6\sqrt{107}}{-2}
=-\frac{3\sqrt{107}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{107}}{2*-1}=\frac{0+6\sqrt{107}}{-2}
=\frac{6\sqrt{107}}{-2}
=\frac{3\sqrt{107}}{-1}
$