Equation, anyone?

Algebra Level 4

Which of the following statement is true about the equation \(x\left| x \right| +a+bx=0\), where \(a\), \(b\) and \(x\) 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 \({ b }^{ 2 }-4a\ge 0\)

(T) None of these


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