14x^2-79x+72=0

Solution for 14x^2-79x+72=0 equation:

14x^2-79x+72=0

a = 14; b = -79; c = +72;
Δ = b2-4ac
Δ = -792-4·14·72
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-47}{2*14}=\frac{32}{28}
=1+1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+47}{2*14}=\frac{126}{28}
=4+1/2
$