-X^2+700x-300=0

Solution for -X^2+700x-300=0 equation:

-X^2+700X-300=0

We add all the numbers together, and all the variables

-1X^2+700X-300=0

a = -1; b = 700; c = -300;
Δ = b2-4ac
Δ = 7002-4·(-1)·(-300)
Δ = 488800
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:

$\sqrt{\Delta}=\sqrt{488800}=\sqrt{400*1222}=\sqrt{400}*\sqrt{1222}=20\sqrt{1222}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(700)-20\sqrt{1222}}{2*-1}=\frac{-700-20\sqrt{1222}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(700)+20\sqrt{1222}}{2*-1}=\frac{-700+20\sqrt{1222}}{-2}
$