# 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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