2.6=x^2-12.5

Solution for 2.6=x^2-12.5 equation:

2.6=x^2-12.5

We move all terms to the left:

2.6-(x^2-12.5)=0

We get rid of parentheses

-x^2+12.5+2.6=0

We add all the numbers together, and all the variables

-1x^2+15.1=0

a = -1; b = 0; c = +15.1;
Δ = b2-4ac
Δ = 02-4·(-1)·15.1
Δ = 60.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{60.4}}{2*-1}=\frac{0-\sqrt{60.4}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{60.4}}{2*-1}=\frac{0+\sqrt{60.4}}{-2}
=\frac{\sqrt{}}{-2}
$