Question

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

• A. 0
• B. 1
• C. 2
• D. None of these

Answer 1

Answer: (A)

0

Answer 2

ax² + bx + c=0, (x ³ 0) or ax² – bx + c = 0, (x < 0)

Here a, b, c > 0 Here a¢ >0, b¢< 0, c¢ >0

so, both roots are –ve so, both roots are +ve

but x ³ 0 so, no solⁿ. but x < 0 so, no solⁿ.

so, Number of solⁿ.s are 0.