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The value of a for which the equation x 3 -3x+a=0 has two distinct roots in [0,1] is given by A) - 1 B) 1 C) 3 D) None of these

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 

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1 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
3 years ago
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

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