-x^2+170x-7000=0

Solution for -x^2+170x-7000=0 equation:

-x^2+170x-7000=0

We add all the numbers together, and all the variables

-1x^2+170x-7000=0

a = -1; b = 170; c = -7000;
Δ = b2-4ac
Δ = 1702-4·(-1)·(-7000)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(170)-30}{2*-1}=\frac{-200}{-2}
=+100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(170)+30}{2*-1}=\frac{-140}{-2}
=+70
$