5x^2-104=6x

Solution for 5x^2-104=6x equation:

5x^2-104=6x

We move all terms to the left:

5x^2-104-(6x)=0

a = 5; b = -6; c = -104;
Δ = b2-4ac
Δ = -62-4·5·(-104)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-46}{2*5}=\frac{-40}{10}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+46}{2*5}=\frac{52}{10}
=5+1/5
$