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Question
Which of the following are quadratic equation in x?
(2x+3)(3x+2)=6(x-1)(x-2)
Solution
(2x+3)(3x+2)=6(x-1)(x-2)
⇒ ` 6x^2+4x+9x+6=6(x^2-3x+2)`
⇒ `6x^2+13x+6=6x^2-18x+12`
⇒31x-6=0
This is of the form `ax^2+bx+c=0`
Hence, the given equation is not a quadratic equation.
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