-24+700x-25x^2=0

Solution for -24+700x-25x^2=0 equation:

-24+700x-25x^2=0

a = -25; b = 700; c = -24;
Δ = b2-4ac
Δ = 7002-4·(-25)·(-24)
Δ = 487600
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:

$\sqrt{\Delta}=\sqrt{487600}=\sqrt{400*1219}=\sqrt{400}*\sqrt{1219}=20\sqrt{1219}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(700)-20\sqrt{1219}}{2*-25}=\frac{-700-20\sqrt{1219}}{-50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(700)+20\sqrt{1219}}{2*-25}=\frac{-700+20\sqrt{1219}}{-50}
$