SOLUTION: OK, I am so not worthy of your math wisdom :) (thank you for helping). There are still a few I am lost on....I hope you have the time. :) I am supposed to solve the equation and

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: OK, I am so not worthy of your math wisdom :) (thank you for helping). There are still a few I am lost on....I hope you have the time. :) I am supposed to solve the equation and      Log On

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Question 1927: OK, I am so not worthy of your math wisdom :) (thank you for helping).
There are still a few I am lost on....I hope you have the time. :)
I am supposed to solve the equation and check for extraneous solutions:
(w-3)^1/2=(4w+15)^1/2
AND(x^2-5x+2)^1/2=x
OR
5/(y-3)=1+[(y+7)/(2y-6)]
Jon, you are helping me so much, I really do appreciate it cuz I am so lost on this stuff. Tutoring like this is my last hope. :)
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
i am getting tired now lol. Here you go. They look right (although the final one looks wierd to me)
1. %28w-3%29%5E%281%2F2%29+=+%284w%2B15%29%5E%281%2F2%29...square both sides
%28w-3%29+=+%284w%2B15%29
3w=-18
w=-6
check...put -6 into the original, and the 2 sides should still equal each other.
2. %28x%5E2-5x%2B2%29%5E1%2F2=x... square both sides
(x^2-5x+2)=x^2
therefore -5x+2=0
5x=2
x=2/5
Again check by putting this answer into the original..both sides should be the same.
3. %285%2F%28y-3%29%29+=+1+%2B+%28%28y%2B7%29%2F%282y-6%29%29
%28%282%2A5%29%2F%282%28y-3%29%29%29+=+1+%2B+%28%28y%2B7%29%2F%282y-6%29%29..i have just scaled the first term by 2 so i can add it to the other term --> both will have the same denominator now...
%2810%2F%282y-6%29%29+=+1+%2B+%28%28y%2B7%29%2F%282y-6%29%29
%2810%2F%282y-6%29%29+-+%28%28y%2B7%29%2F%282y-6%29%29+=+1
%2810+-+%28y%2B7%29%29%2F%282y-6%29+=+1
%2810-y-7%29%2F%282y-6%29+=+1
%283-y%29=%282y-6%29
3y=9
y=3
Now, put this into the equations and the denominators are zero...divide by zero is NOT healthy, so this is te only worry i have, but it is nearly 1am and i am tired and i cannot think straight.
cheers
Jon.