9x^2-79x+112=0

Solution for 9x^2-79x+112=0 equation:

9x^2-79x+112=0

a = 9; b = -79; c = +112;
Δ = b2-4ac
Δ = -792-4·9·112
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*9}=\frac{32}{18}
=1+7/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+47}{2*9}=\frac{126}{18}
=7
$