X2-5x-750=0

Solution for X2-5x-750=0 equation:

X2-5X-750=0

We add all the numbers together, and all the variables

X^2-5X-750=0

a = 1; b = -5; c = -750;
Δ = b2-4ac
Δ = -52-4·1·(-750)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-55}{2*1}=\frac{-50}{2}
=-25
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+55}{2*1}=\frac{60}{2}
=30
$