SOLUTION: Solve each equation. Check for extraneous solutions. []means square root.. [2x-1]=x-8 (4x+3)^2/3=(16x+44)^1/3

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Question 181376: Solve each equation. Check for extraneous solutions.

[]means square root..
[2x-1]=x-8

(4x+3)^2/3=(16x+44)^1/3
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Square both sides:

Collect like terms and put into standard form:

Note that and , so:

Check for extraneous roots:

False, therefore is extraneous.

True, therefore is valid.
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Raise each side to the third power:

Expand the binomial:

Collect like terms, leave in standard form:

Note that , , and so:

Check for extraneous roots:

, True: is a valid root.

, True: is a valid root.

John