0=x^2-170.43x+7166.74897

Solution for 0=x^2-170.43x+7166.74897 equation:

0=x^2-170.43x+7166.74897

We move all terms to the left:

0-(x^2-170.43x+7166.74897)=0

We add all the numbers together, and all the variables

-(x^2-170.43x+7166.74897)=0

We get rid of parentheses

-x^2+170.43x-7166.74897=0

We add all the numbers together, and all the variables

-1x^2+170.43x-7166.74897=0

a = -1; b = 170.43; c = -7166.74897;
Δ = b2-4ac
Δ = 170.432-4·(-1)·(-7166.74897)
Δ = 379.38902
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{-(170.43)-\sqrt{379.38902}}{2*-1}=\frac{-170.43-\sqrt{379.38902}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(170.43)+\sqrt{379.38902}}{2*-1}=\frac{-170.43+\sqrt{379.38902}}{-2}
$