X2+15x-460=0

Solution for X2+15x-460=0 equation:

X2+15X-460=0

We add all the numbers together, and all the variables

X^2+15X-460=0

a = 1; b = 15; c = -460;
Δ = b2-4ac
Δ = 152-4·1·(-460)
Δ = 2065
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{2065}}{2*1}=\frac{-15-\sqrt{2065}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{2065}}{2*1}=\frac{-15+\sqrt{2065}}{2}
$