What is the solution to the equation y/y-4-4/y+4=32/y^2-16

ANSWER

No solution

EXPLANATION



The least common multiple is


We multiply through by the LCM to obtain,



We cancel out to get,



We expand to get,



We now group like terms to obtain,



We simplify to get,



This gives,



We divide through by 2.



Taking square root of both sides gives,





This implies that,



But the above solutions are not within the domain of the function, which is



Therefore the equation has no solution.

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