10*115=x*x

Solution for 10*115=x*x equation:

10*115=x*x

We move all terms to the left:

10*115-(x*x)=0

We add all the numbers together, and all the variables

-(+x*x)+10*115=0

We add all the numbers together, and all the variables

-(+x*x)+1150=0

We get rid of parentheses

-x*x+1150=0

Wy multiply elements

-1x^2+1150=0

a = -1; b = 0; c = +1150;
Δ = b2-4ac
Δ = 02-4·(-1)·1150
Δ = 4600
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:

$\sqrt{\Delta}=\sqrt{4600}=\sqrt{100*46}=\sqrt{100}*\sqrt{46}=10\sqrt{46}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{46}}{2*-1}=\frac{0-10\sqrt{46}}{-2}
=-\frac{10\sqrt{46}}{-2}
=-\frac{5\sqrt{46}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{46}}{2*-1}=\frac{0+10\sqrt{46}}{-2}
=\frac{10\sqrt{46}}{-2}
=\frac{5\sqrt{46}}{-1}
$