JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The number of the real solutions of the equation : \( x|x+3|+|x-1|-2=0 \) is
- A 3
- B 2
- C 5
- D 4
Answer & Solution
Correct Answer
(A) 3
Step-by-step Solution
Detailed explanation
(I) \(\begin{array}{l}x^2+3 x+x-1-2=0 \\ x^2+4 x-3=0\end{array}\) \(x=-2+\sqrt{7}\ (\)rejected\(),-2-\sqrt{7}\ (\)rejected\()\) (II) \(x^2+3 x+1-x-2=0\) \(x^2+2 x-1=0\) \(x=-1+\sqrt{2},-1-\sqrt{2}\) (III) \(-x^2-3 x+1-x-2=0\) \(x^2+4 x+1=0\)…
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