X2+8x-76=0

Solution for X2+8x-76=0 equation:

X2+8X-76=0

We add all the numbers together, and all the variables

X^2+8X-76=0

a = 1; b = 8; c = -76;
Δ = b2-4ac
Δ = 82-4·1·(-76)
Δ = 368
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:

$\sqrt{\Delta}=\sqrt{368}=\sqrt{16*23}=\sqrt{16}*\sqrt{23}=4\sqrt{23}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{23}}{2*1}=\frac{-8-4\sqrt{23}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{23}}{2*1}=\frac{-8+4\sqrt{23}}{2}
$