SOLUTION: Solve the radical equation (2x-1)^1/2=x-2

Question 87483: Solve the radical equation (2x-1)^1/2=x-2
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

Square both sides:

It's a quadratic equation, so set equal to zero by subtracting 2x and adding +1 to each side of the equation:

Which FACTORS!! (They all do when solving radical equations!!)

or

Answers are NOT guaranteed, so you need to check the answers in the original equation to see if they work!

x=5

It checks!!

x=1

Reject. This does NOT check!!

The answer is x=5.

R^2 Retired from SCC

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