X2+15x-3250=0

Solution for X2+15x-3250=0 equation:

X2+15X-3250=0

We add all the numbers together, and all the variables

X^2+15X-3250=0

a = 1; b = 15; c = -3250;
Δ = b2-4ac
Δ = 152-4·1·(-3250)
Δ = 13225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13225}=115$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-115}{2*1}=\frac{-130}{2}
=-65
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+115}{2*1}=\frac{100}{2}
=50
$