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Which of the following statement is true about the equation x∣x∣+a+bx=0x\left| x \right| +a+bx=0x∣x∣+a+bx=0, where aaa, bbb and xxx are real.
(P) It has at most three roots
(Q) It has at least one real root
(R) Both (P) & (Q)
(S) It has real roots only if b2−4a≥0{ b }^{ 2 }-4a\ge 0b2−4a≥0
(T) None of these
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