SOLUTION: Hello,I'm a 9th grade student and I'm stuck at one question.Please help me solve this:- Sqrt(x/1-x)+Sqrt(1-x/x)=13/6 Where (x is not equal to 0,1)

Question 1004483: Hello,I'm a 9th grade student and I'm stuck at one question.Please help me solve this:-
Sqrt(x/1-x)+Sqrt(1-x/x)=13/6
Where (x is not equal to 0,1)
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
solve
Sqrt(x/1-x)+Sqrt(1-x/x)=13/6
where (x is not equal to 0,1)
--------------------------------

Introduce new variable y = .
Notice that = .

Then your equation takes the form

+ = .

To solve it, multiply both sides by 6y. You will have

+ = .

Simplify:

- + = .

Apply quadratic formula. You will get the roots = and = .

Now you need to solve two equations to determine x.

First equation is = .
To solve it, square first both sides. Then . . . (. . . as you are 9th grade, you should know what do next . . . ).

The second equation is = .

Please complete the solution yourself.

Good luck!

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