SOLUTION: Please help me solve this equation: {{{(x-3)^(3/2)-15(x-3)^(-1/2)+2(x-3)^(1/2)=0}}}

Question 26985: Please help me solve this equation:
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
OK, as it stands it looks too complicated to solve. However, i notice a repeating expression in all three terms, namely .

Let y = . So,

can be written as which is then

. Instantly, this is far simpler to look at and approach.

so OR
OR
OR OR OR

So, we have 4 answers:
OR OR OR

Now, we have to find what x is, so:

--> (x-3) = 3
--> x = 6

--> (x-3) = 3
--> x = 6 again.

--> (x-3) = -5
--> x = -2

--> (x-3) = -5
--> x = -2

So, the 2 answers are x=-2 and x=6

I would suggest you put both values back into to make sure that it does indeed equal zero.

jon.

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