12m2-59m+55=0

Solution for 12m2-59m+55=0 equation:

12m^2-59m+55=0

a = 12; b = -59; c = +55;
Δ = b2-4ac
Δ = -592-4·12·55
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-29}{2*12}=\frac{30}{24}
=1+1/4
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+29}{2*12}=\frac{88}{24}
=3+2/3
$