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Question

Find the roots of the equation
l^2 (m^2-n^2)x^2 + m^2(n^2-l^2)x + n^2 (l^2-m^2) =0

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Solution

Dear student,
Observe that l2(m2-n2)+m2(n2-l2)+n2(l2-m2)=0
Hence x=1 is one root
Let other root be α
Now product of roots =α
Hence α=n2(l2-m2)l2(m2-n2)
Hence the roots are 1,n2(l2-m2)l2(m2-n2)
Regards
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