X^2-8x=134

Solution for X^2-8x=134 equation:

X^2-8X=134

We move all terms to the left:

X^2-8X-(134)=0

a = 1; b = -8; c = -134;
Δ = b2-4ac
Δ = -82-4·1·(-134)
Δ = 600
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:

$\sqrt{\Delta}=\sqrt{600}=\sqrt{100*6}=\sqrt{100}*\sqrt{6}=10\sqrt{6}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-10\sqrt{6}}{2*1}=\frac{8-10\sqrt{6}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+10\sqrt{6}}{2*1}=\frac{8+10\sqrt{6}}{2}
$