The number of distinct real roots of the equation 3 x 4 + 4 x 3 - 12 x 2 + 4 = 0 is _________.

The number of distinct real roots of the equation 3x4+4x3-12x2+4=0 is _________.

Solution

3x4+4x3-12x2+4=0

So, 

let fx=3x4+4x3-12x2+4

∴ f'x=12xx2+x-2

=12xx+2x-1

f0=4

f1=-1

Ans. 4

Asked in: JEE Main 2021 (27 Aug Shift 1)

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