Sketch, on the same axes, the graphs of $y=3x$ and $y=\left| {{x}^{2}}-{{a}^{2}} \right|$ where&

Question

Sketch, on the same axes, the graphs of $y=3x$ and $y=\left| {{x}^{2}}-{{a}^{2}} \right|$ where $a>0$.[2] Find the exact solution of $\left| {{x}^{2}}-{{a}^{2}} \right|=3x$ for $0 < x < a$.[2]

Accepted Answer

(a) Intercepts $(-a,0)$, $(0,a^2)$, and $(a,0)$ (b) $\displaystyle x=\frac{-3+\sqrt{9+4a^2}}2$

2024 JPJC P2 Q1

2024 JPJC P2 Q1

Video Solution:

Solution:

Solution locked