X2+6x-198=0

Solution for X2+6x-198=0 equation:

X2+6X-198=0

We add all the numbers together, and all the variables

X^2+6X-198=0

a = 1; b = 6; c = -198;
Δ = b2-4ac
Δ = 62-4·1·(-198)
Δ = 828
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:

$\sqrt{\Delta}=\sqrt{828}=\sqrt{36*23}=\sqrt{36}*\sqrt{23}=6\sqrt{23}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{23}}{2*1}=\frac{-6-6\sqrt{23}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{23}}{2*1}=\frac{-6+6\sqrt{23}}{2}
$