Complex Numbers And Quadratic Equations question 756

Question: The number of solutions for the equation $ x^{2}-5|x|+6=0 $ is [Karnataka CET 2004]

Options:

4

3

2

1

Show Answer

Answer:

Correct Answer: A

Solution:

Given equation $ x^{2}-5|x|+6=0 $ i.e., $ x^{2}-5x+6=0 $ and $ x^{2}+5x+6=0 $ $ x^{2}-5x+6=0 $ and $ x^{2}+5x+6=0 $ $ (x-3)(x-2)=0 $ and $ (x+3)(x+2)=0 $ $ x=3,x=2 $ and $ x=-3,x=-2 $ . i.e., Four solutions of this equation.



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