SOLUTION: Solve: 1-2/m=8/m^2?

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Question 1159696: Solve: 1-2/m=8/m^2?
Found 4 solutions by josgarithmetic, solver91311, MathLover1, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
1-2/m=8/m^2

1-2%2Fm=8%2Fm%5E2
m%5E2%281-2%2Fm%29=8
m%5E2-2m=8
m%28m-2%29=8
highlight%28m=4%29

check:
1-2%2F4=8%2F16
1%2F2=1%2F2
yes.


--
m%5E2-2m-8=0
%28m-4%29%28m%2B2%29=0
system%28m=4%2Cor%2Cm=-2%29?
check for -2,
1-2%2F%28-2%29=8%2F%28-2%29%5E2
1%2B1=8%2F4
2=2
yes this too.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Add to both sides.

Multiply both sides by

Solve the factorable quadratic in


John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1-2%2Fm=8%2Fm%5E2
1=8%2Fm%5E2%2B2%2Fm.....both sides multiply by m%5E2
1m%5E2=8m%5E2%2Fm%5E2%2B2m%5E2%2Fm
m%5E2=8%2B2m
m%5E2-2m-8=0........factor
m%5E2-4m%2B2m-8=0
%28m%5E2-4m%29%2B%282m-8%29=0
m%28m-4%29%2B2%28m-4%29=0
%28m+-+4%29%28m+%2B+2%29+=+0
solutions:
if %28m+-+4%29=+0->m=4
if %28m+%2B+2%29+=+0->m=-2




Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve: 1-2/m=8/m^2?
matrix%281%2C3%2C+1+-+2%2Fm%2C+%22=%22%2C+8%2Fm%5E2%29

matrix%281%2C3%2C+m%5E2+-+2m%2C+%22=%22%2C+8%29 ------ Multiplying by LCD, m2

matrix%281%2C3%2C+m%5E2+-+2m+-+8%2C+%22=%22%2C+0%29

(m - 4)(m + 2) = 0

m - 4 = 0      OR      m + 2 = 0