m2/2=25.m=7

Solution for m2/2=25.m=7 equation:

m2/2=25.m=7

We move all terms to the left:

m2/2-(25.m)=0

We add all the numbers together, and all the variables

m2/2-(+25.m)=0

We get rid of parentheses

m2/2-25.m=0

We multiply all the terms by the denominator


m2-(25.m)*2=0

We add all the numbers together, and all the variables

m2-(+25.m)*2=0

We add all the numbers together, and all the variables

m^2-(+25.m)*2=0

We multiply parentheses

m^2-50m=0

a = 1; b = -50; c = 0;
Δ = b2-4ac
Δ = -502-4·1·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-50}{2*1}=\frac{0}{2}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+50}{2*1}=\frac{100}{2}
=50
$