0=x^2-6x-88

Solution for 0=x^2-6x-88 equation:

0=x^2-6x-88

We move all terms to the left:

0-(x^2-6x-88)=0

We add all the numbers together, and all the variables

-(x^2-6x-88)=0

We get rid of parentheses

-x^2+6x+88=0

We add all the numbers together, and all the variables

-1x^2+6x+88=0

a = -1; b = 6; c = +88;
Δ = b2-4ac
Δ = 62-4·(-1)·88
Δ = 388
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:

$\sqrt{\Delta}=\sqrt{388}=\sqrt{4*97}=\sqrt{4}*\sqrt{97}=2\sqrt{97}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{97}}{2*-1}=\frac{-6-2\sqrt{97}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{97}}{2*-1}=\frac{-6+2\sqrt{97}}{-2}
$