Quadratic Equation Question 6

Question 6 - 2024 (30 Jan Shift 2)

The number of real solutions of the equation $x\left(x^{2}+3|x|+5|x-1|+6|x-2|\right)=0$ is

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Answer (1)

Solution

$x=0$ and $x^{2}+3|x|+5|x-1|+6|x-2|=0$

Here all terms are + ve except at $x=0$

So there is no value of $x$

Satisfies this equation

Only solution $x=0$

No of solution 1 .