SOLUTION: Solve: sq rt of 3x-5

SOLUTION: Solve: sq rt of 3x-5 - sq rt of x+2 = 1

Question 441834: Solve:
sq rt of 3x-5 - sq rt of x+2 = 1
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
First, square both sides:

Applying FOIL on the LHS we have:

Collecting terms and isolating the term with the square root gives:

Isolating the square root term allows us to square both sides again:

Performing the multiplcation gives:

Divide through by 4 and collect terms:

Solve for x using the quadratic formula:
-> x = 2, 7
The squaring operation allows for positive and negative solutions, but only one value of x will make the original expression valid.
Check:
x=2: [Discard this solution]
x=7: [Correct]
Ans: x = 7
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