x^2-100x-7500=0

Solution for x^2-100x-7500=0 equation:

x^2-100x-7500=0

a = 1; b = -100; c = -7500;
Δ = b2-4ac
Δ = -1002-4·1·(-7500)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-200}{2*1}=\frac{-100}{2}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+200}{2*1}=\frac{300}{2}
=150
$