1. suatu grafik f(x)=px^2+(p+2)x - p+4 akan memotong sumbu x pada dua titik, jika harga p adalah...

→ Materi : Fungsi Kuadrat ←
≡ Diketahui:
[tex]\Leftrightarrow f(x)=px^{2}+(p+2)x-p+4 \\ \Leftrightarrow f(x)=px^{2}+(p+2)x+(4-p) \\ \Leftrightarrow a=p \;\|\;b=(p+2)\;\|\;c=(4-p)[/tex]

≡ Penyelesaian:
[tex]\rightarrow D\ \textgreater \ 0 \\ \rightarrow b^{2}-4ac \ \textgreater \ 0 \\ \rightarrow (p+2)^{2}-4(p)(4-p) \ \textgreater \ 0 \\ \rightarrow p^{2}+4p+4-(16p-4p^{2}) \ \textgreater \ 0 \\ \rightarrow p^{2}+4p+4-16p+4p^{2} \ \textgreater \ 0 \\ \rightarrow 5p^{2}-12p+4 \ \textgreater \ 0 \\ \rightarrow (5p-2)(p-2)\ \textgreater \ 0 \\ \leadsto \boxed{p\ \textless \ \frac{2}{5} \; atau \; p\ \textgreater \ 2}[/tex]