9m^2-64m+60=0

Solution for 9m^2-64m+60=0 equation:

9m^2-64m+60=0

a = 9; b = -64; c = +60;
Δ = b2-4ac
Δ = -642-4·9·60
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-44}{2*9}=\frac{20}{18}
=1+1/9
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+44}{2*9}=\frac{108}{18}
=6
$