JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The number of real roots of the equation \(\mathrm{x}|\mathrm{x}-2|+3|\mathrm{x}-3|+1=0\) is :
- A 4
- B 2
- C 1
- D 3
Answer & Solution
Correct Answer
(C) 1
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { (I) } x \lt 2 \\ & -x^2+2 x-3 x+9+1=0 \\ & \Rightarrow x^2+x-10=0 \\ & \Rightarrow x=\frac{-1+\sqrt{41}}{2}, \frac{-1-\sqrt{41}}{2} \\ & \quad \times \quad \sqrt{ } \end{aligned}\)…
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