Homework Help: algebra,math

Posted by tracy on Monday, October 24, 2011 at 9:42pm.

Solve the equation. Check both solutions and only write the real solution.

the square root of 6m minus 5 = m
A. {1}
B. {5}
C. {1, 5}
D. no real solution

I think its B

algebra,math - Reiny, Monday, October 24, 2011 at 10:22pm
√(6m) - 5 = m
√(6m) = m+5
square both sides
6m = m^2 + 10m + 25
m^2 + 4m + 25 = 0
m = (-4 ą √-84)/2

no real solution

if you think it is B), why not check it

LS = √30 - 5
RS = 5

mmmhhh

However, if you meant:
√(6m-5) = 5
then 6m-5 = 25
6m = 30
m = 5

See what happens if you don't use brackets to avoid ambiguity?

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