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Find the interval in which `m` lies so that the expression (mx^2+3x-4)/(-4x^2+3x+m) can take all real values, x belongs to R.

4 years ago

Vikas TU
14149 Points

Find D1 for numerator.
Find D2 for denominator.
where D1 and D2 are the Discriminants of those two quadratics.
then solve D1 greater than equal to zero
and D2 for greater than zero.
then take the intersection for both.
that would be the final interval.
As the imaginary part should not be allowed becaiuse x beelongs to R.
and also denominator should not zero.
4 years ago
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