0=x^2-107x+91

Solution for 0=x^2-107x+91 equation:

0=x^2-107x+91

We move all terms to the left:

0-(x^2-107x+91)=0

We add all the numbers together, and all the variables

-(x^2-107x+91)=0

We get rid of parentheses

-x^2+107x-91=0

We add all the numbers together, and all the variables

-1x^2+107x-91=0

a = -1; b = 107; c = -91;
Δ = b2-4ac
Δ = 1072-4·(-1)·(-91)
Δ = 11085
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{-(107)-\sqrt{11085}}{2*-1}=\frac{-107-\sqrt{11085}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(107)+\sqrt{11085}}{2*-1}=\frac{-107+\sqrt{11085}}{-2}
$