The diagram shows the sketch of the curves $y=|x^2-5|$ and $y=x+2$. Solve the inequality \(|x^2-

Question

The diagram shows the sketch of the curves $y=|x^2-5|$ and $y=x+2$. Solve the inequality $|x^2-5|>x+2$ exactly.[4]

Accepted Answer

$x\dfrac{1+\sqrt{29}}2$

2025 EJC Promo Q2