X2+17x-30=0

Solution for X2+17x-30=0 equation:

X2+17X-30=0

We add all the numbers together, and all the variables

X^2+17X-30=0

a = 1; b = 17; c = -30;
Δ = b2-4ac
Δ = 172-4·1·(-30)
Δ = 409
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{-(17)-\sqrt{409}}{2*1}=\frac{-17-\sqrt{409}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{409}}{2*1}=\frac{-17+\sqrt{409}}{2}
$