X^2+6x=1216

Solution for X^2+6x=1216 equation:

X^2+6X=1216

We move all terms to the left:

X^2+6X-(1216)=0

a = 1; b = 6; c = -1216;
Δ = b2-4ac
Δ = 62-4·1·(-1216)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-70}{2*1}=\frac{-76}{2}
=-38
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+70}{2*1}=\frac{64}{2}
=32
$