For a < 0 determine all real roots of equation x^ 2 -2 a|x-a|-3 a^ 2 =0 .
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
For a < 0 determine all real roots of equation \(x^{2}-2 a|x-a|-3 a^{2}=0\).
- \(a(1-\sqrt{2}) a(-1+\sqrt{6})\)
- \(a(1+\sqrt{2}) a(-1-\sqrt{6})\)
- \(a(-1-\sqrt{2}) a(-1+\sqrt{6})\)
- \(a(-1+\sqrt{2}) a(-1+\sqrt{6})\)
Answer
(C) a(-1- 2 ) a(-1+ 6 )
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