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For the equation x 2 + a|x| + 1 = 0 (a belongs to R) Find condition for 1. no real roots 2. exactly 2 roots 3. exactly 3 real roots 4. exactly 4 distinct real roots

For the equation x2 + a|x| + 1 = 0 (a belongs to R)
 
Find condition for 1. no real roots
                          2. exactly 2 roots
                          3. exactly 3 real roots
                          4. exactly 4 distinct real roots 

Grade:12

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