x^2=145(145+81)

Solution for x^2=145(145+81) equation:

x^2=145(145+81)

We move all terms to the left:

x^2-(145(145+81))=0

We add all the numbers together, and all the variables

x^2-(145226)=0

We add all the numbers together, and all the variables

x^2-145226=0

a = 1; b = 0; c = -145226;
Δ = b2-4ac
Δ = 02-4·1·(-145226)
Δ = 580904
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:

$\sqrt{\Delta}=\sqrt{580904}=\sqrt{4*145226}=\sqrt{4}*\sqrt{145226}=2\sqrt{145226}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{145226}}{2*1}=\frac{0-2\sqrt{145226}}{2}
=-\frac{2\sqrt{145226}}{2}
=-\sqrt{145226}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{145226}}{2*1}=\frac{0+2\sqrt{145226}}{2}
=\frac{2\sqrt{145226}}{2}
=\sqrt{145226}
$