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:
A) 4
B) 3
C) 2
D) 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}-3x-2x+6=0 $ and $ x^{2}+3x+2x+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.
BETA
