25m^2-175m+306=0

Solution for 25m^2-175m+306=0 equation:

25m^2-175m+306=0

a = 25; b = -175; c = +306;
Δ = b2-4ac
Δ = -1752-4·25·306
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-175)-5}{2*25}=\frac{170}{50}
=3+2/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-175)+5}{2*25}=\frac{180}{50}
=3+3/5
$