X^2+113x-200=0

Solution for X^2+113x-200=0 equation:

X^2+113X-200=0

a = 1; b = 113; c = -200;
Δ = b2-4ac
Δ = 1132-4·1·(-200)
Δ = 13569
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{-(113)-\sqrt{13569}}{2*1}=\frac{-113-\sqrt{13569}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(113)+\sqrt{13569}}{2*1}=\frac{-113+\sqrt{13569}}{2}
$