X2+100x+100=0

Solution for X2+100x+100=0 equation:

X2+100X+100=0

We add all the numbers together, and all the variables

X^2+100X+100=0

a = 1; b = 100; c = +100;
Δ = b2-4ac
Δ = 1002-4·1·100
Δ = 9600
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:

$\sqrt{\Delta}=\sqrt{9600}=\sqrt{1600*6}=\sqrt{1600}*\sqrt{6}=40\sqrt{6}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-40\sqrt{6}}{2*1}=\frac{-100-40\sqrt{6}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+40\sqrt{6}}{2*1}=\frac{-100+40\sqrt{6}}{2}
$