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If a, b, c are positive real numbers, then the number of of real roots of the equation ax 2 + b | x |+ c = 0 is

If a, b, c are positive real numbers, then the number of of real roots of the equation ax2+ b|x|+ c = 0 is
 

Grade:12th Pass

1 Answers

Nicho priyatham
625 Points
6 years ago
f(x)=a|x|2+ b|x|+ c 
so the graph of of above function always lies above xaxis because a,b,c are positive and mod x is also positive
so their sum and product will be positive so it can never become 0 
so no real roots
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