6x^2-59x+144=0

Solution for 6x^2-59x+144=0 equation:

6x^2-59x+144=0

a = 6; b = -59; c = +144;
Δ = b2-4ac
Δ = -592-4·6·144
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-5}{2*6}=\frac{54}{12}
=4+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+5}{2*6}=\frac{64}{12}
=5+1/3
$