The value of a for which the equation x³-3x+a=0 has two distinct roots in [0,1] is given by

A) - 1

B) 1

C) 3

D) None of these

Dear student

for cubic equation​x^3-3x+a=0

for a=-1 x=​ -2.1038034027355366,​ 1.0519017013677683 + i* 0.5652358516771708,​ 1.0519017013677683 - i* 0.5652358516771708

a=1 x=​ 1.53208888623796,​ -1.87938524157182,​ 0.34729635533386

a=3 x=​ -2.1038034027355366,​ 1.0519017013677683 + i* 0.5652358516771708,​ 1.0519017013677683 - i* 0.5652358516771708

therfore none of these