JEE Main 2022 · 30 Jul · Shift 2 · Mathematics Q83

MathematicsInteger+4 / -1Question 83 of 90

The number of integral values of b for which $2x^3-3x^2-12x+b=0$ has three distinct real roots is _______.

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Answer and worked solution

Official answer: 26

Critical points $x=-1$ and 2. Three distinct roots need $f(-1)=b+7>0$ and $f(2)=b-20<0$ : $-7<b<20$ , 26 integers.

Answer: 26

JEE Main 2022 · 30 Jul · Shift 2, Mathematics question 83