X^2+112x-203=0

Solution for X^2+112x-203=0 equation:

X^2+112X-203=0

a = 1; b = 112; c = -203;
Δ = b2-4ac
Δ = 1122-4·1·(-203)
Δ = 13356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{13356}=\sqrt{36*371}=\sqrt{36}*\sqrt{371}=6\sqrt{371}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(112)-6\sqrt{371}}{2*1}=\frac{-112-6\sqrt{371}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(112)+6\sqrt{371}}{2*1}=\frac{-112+6\sqrt{371}}{2}
$