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Question
`12abx^2-(9a^2-8b^2)x-6ab=0`
Solution
`12abx^2-(9a^2-8b^2)x-6ab=0`
⇒`12abx^2-(9a^2-8b^2)x-6ab=0`
⇒`3ax(4bx-3a)+2b(4bx-3a)=0`
⇒`(3ax+2b) (4bx-3a)=0`
⇒` 3ax+2b=0` or `4bx-3a=0`
⇒ `x=(-2b)/(3a)` or` x=(3a)/(4b)`
Hence, the roots of the equation are `(-2b)/(3a)` and `(3a)/(4b)`
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