3x2-14x+15=0
bantuin jawab guys...![]()
bantuin jawab guys...
HP dari 3x² - 14x + 15 = 0 adalah {5/3, 3}
Pembahasan
Menggunakan rumus ABC
[tex]\begin{aligned}&{\sf{3x^2-14x+15=0}}\\&{\sf{a=3,b=-14,c=15}}\\&{\sf{x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}}}\\&{\sf{x_{1,2}=\frac{-(-14)\pm\sqrt{(-14)^2-4(3)(15)}}{2(3)}}}\\&{\sf{x_{1,2}=\frac{14\pm\sqrt{196-180}}{6}}}\\&{\sf{x_{1,2}=\frac{14\pm\sqrt{16}}{6}}}\\&{\sf{x_{1,2}=\frac{14\pm4}{6}}}\\&\begin{array}{c|c}\begin{aligned}{\sf{x_1=\frac{14-4}{6}}}\end{aligned}&\begin{aligned}{\sf{x_2=\frac{14+4}{6}}}\end{aligned}\\\begin{aligned}{\sf{x_1=\frac{10}{6}}}\quad~~~\end{aligned}&\begin{aligned}{\sf{x_2=\frac{18}{6}}}\quad~~\end{aligned}\\\begin{aligned}{\sf{x_1=\frac{5}{3}}}\qquad~\end{aligned}&\begin{aligned}{\sf{x_2=3}}\quad~~~~~\end{aligned}\end{array}\end{aligned}[/tex]
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