JEE Main 2022 · 26 Jul · Shift 1 · Mathematics Q24

MathematicsInteger+4 / -1Question 24 of 90

The number of distinct real roots of the equation $x^5\left(x^3-x^2-x+1\right)+x\left(3x^3-4x^2-2x+4\right)-1=0$ is ______.

Your answer

Answer and worked solution

Official answer: 3

Factor. The polynomial vanishes at $x=\pm1$ and has one more real root near 0.33; the other roots are complex. Three distinct real roots.

Answer: 3

JEE Main 2022 · 26 Jul · Shift 1, Mathematics question 24