1/2m+1/4m=9

Solution for 1/2m+1/4m=9 equation:

1/2m+1/4m=9

We move all terms to the left:

1/2m+1/4m-(9)=0


Domain of the equation: 2m!=0

m!=0/2

m!=0

m∈R



Domain of the equation: 4m!=0

m!=0/4

m!=0

m∈R


We calculate fractions


4m/8m^2+2m/8m^2-9=0

We multiply all the terms by the denominator


4m+2m-9*8m^2=0

We add all the numbers together, and all the variables

6m-9*8m^2=0

Wy multiply elements

-72m^2+6m=0

a = -72; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-72)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-72}=\frac{-12}{-144}
=1/12
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-72}=\frac{0}{-144}
=0
$