Diketahui fungsi kuadrat f(x) = x² - (m + 2)x + (2m + 1). Agar fungsi menyinggung sumbu X, maka nila.... Question from @yehuda15kn

October 2018 2 12 Report

Chukhy010 Menyinggung sumbu X, berarti D = 0
$b^2 - 4 a c = 0 \\ (m+2)^2 - 4 (1)(2m+1) = 0 \\ m^2 + 4m + 4 - 8m - 4 = 0 \\ m^2 - 4m = 0 \\ m(m-4) = 0 \\ m = 0 \\ atau \\ m = 4$

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yehuda15kn terima kasih banyak, ini sangat membantu

Chukhy010 iya, balik kasih

ImmanuelSinaga $\text{Karena hanya menyinggung sumbu x, maka penyelesaian hanya satu}$
$$\begin{align}D&=0 \\ b^{2}-4ac&=0 \\ (m+2)^{2}-4(1)(2m+1)&=0 \\ m^{2}+4m+4-8m-4&=0 \\ m^{2}-4m&=0 \\ m(m-4)&=0 \\ m&=0 \\ m&=4\end{align}$

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