6x^2-56x+130=0

Solution for 6x^2-56x+130=0 equation:

6x^2-56x+130=0

a = 6; b = -56; c = +130;
Δ = b2-4ac
Δ = -562-4·6·130
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-4}{2*6}=\frac{52}{12}
=4+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+4}{2*6}=\frac{60}{12}
=5
$