X^2+118x=3136

Solution for X^2+118x=3136 equation:

X^2+118X=3136

We move all terms to the left:

X^2+118X-(3136)=0

a = 1; b = 118; c = -3136;
Δ = b2-4ac
Δ = 1182-4·1·(-3136)
Δ = 26468
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:

$\sqrt{\Delta}=\sqrt{26468}=\sqrt{4*6617}=\sqrt{4}*\sqrt{6617}=2\sqrt{6617}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(118)-2\sqrt{6617}}{2*1}=\frac{-118-2\sqrt{6617}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(118)+2\sqrt{6617}}{2*1}=\frac{-118+2\sqrt{6617}}{2}
$