x can take finite values!

Algebra Level 3

For a real \(x\) satisfying \[\dfrac{6x^2-5x-3}{x^2-2x+6} \leq 4 , \]

the least and the highest values of \(4x^2\) are \(A\) and \(B\) respectively.

Find the value of \(A-B\).

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