SOLUTION: I am a bit confused with these problems. Can someone help me? Solve each radical expression: a. √ (2X – 1) = X – 2 This the square root of what is in the paren

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am a bit confused with these problems. Can someone help me? Solve each radical expression: a. √ (2X – 1) = X – 2 This the square root of what is in the paren      Log On


   

Question 49903: I am a bit confused with these problems. Can someone help me?
Solve each radical expression:
a. √ (2X – 1) = X – 2 This the square root of what is in the parenthesis.

b. √3X + 5 = 11 This is the square root of 3x
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
a.)
sqrt%282x+-+1%29+=+x+-+2
2x+-+1+=+%28x+-+2%29%5E2
2x+-+1+=+x%5E2+-+4x+%2B+4
0+=+x%5E2+-+6x+%2B+5
0+=+%28x+-+5%29%28x+-+1%29
x = 5 and x = 1
Check:
sqrt(2x - 1) = x - 2
sqrt(10 - 1) = 5 - 2
sqrt(9) = 3 Correct
Check:
sqrt(2x - 1) = x - 2
sqrt(1) = -1 Not Correct
Only Answer: five
graph%28300%2C300%2C-4%2C6%2C-5%2C5%2Csqrt%282x+-+1%29%2Cx+-+2%29
b.)
sqrt%283x%29+%2B+5+=+11
sqrt%283x%29+=+6
3x+=+36
x+=+12
Check:
sqrt(3x) + 5 = 11
sqrt(36) = 6 Correct
graph%28300%2C300%2C-1%2C13%2C-3%2C7%2Csqrt%283x%29%2C6%29