4m2-39m+59=3

Solution for 4m2-39m+59=3 equation:

4m^2-39m+59=3

We move all terms to the left:

4m^2-39m+59-(3)=0

We add all the numbers together, and all the variables

4m^2-39m+56=0

a = 4; b = -39; c = +56;
Δ = b2-4ac
Δ = -392-4·4·56
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-25}{2*4}=\frac{14}{8}
=1+3/4
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+25}{2*4}=\frac{64}{8}
=8
$