X2+175x-2000=0

Solution for X2+175x-2000=0 equation:

X2+175X-2000=0

We add all the numbers together, and all the variables

X^2+175X-2000=0

a = 1; b = 175; c = -2000;
Δ = b2-4ac
Δ = 1752-4·1·(-2000)
Δ = 38625
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:

$\sqrt{\Delta}=\sqrt{38625}=\sqrt{25*1545}=\sqrt{25}*\sqrt{1545}=5\sqrt{1545}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(175)-5\sqrt{1545}}{2*1}=\frac{-175-5\sqrt{1545}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(175)+5\sqrt{1545}}{2*1}=\frac{-175+5\sqrt{1545}}{2}
$