X2+18x+7=0

Solution for X2+18x+7=0 equation:

X2+18X+7=0

We add all the numbers together, and all the variables

X^2+18X+7=0

a = 1; b = 18; c = +7;
Δ = b2-4ac
Δ = 182-4·1·7
Δ = 296
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:

$\sqrt{\Delta}=\sqrt{296}=\sqrt{4*74}=\sqrt{4}*\sqrt{74}=2\sqrt{74}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2\sqrt{74}}{2*1}=\frac{-18-2\sqrt{74}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2\sqrt{74}}{2*1}=\frac{-18+2\sqrt{74}}{2}
$