Persamaan Nilai Mutlak
\(|x| = a \text{ untuk } a \geq 0\)
Cara 1
\( |x| = a \)
\( x = -a \text{ atau } x = +a \)
Cara 2
\( |x| = a \)
\( x^2 = a^2 \)
\( x^2 - a^2 = 0 \)
\( (x + a)(x - a) = 0 \)
\(x = -a \text{ atau } x = +a \)
Contoh:
\begin{equation*} | x | = 3 \end{equation*}
Cara 1
\( | x | = 3 \)
\( x = -3 \text{ atau } x = 3 \)
Cara 2
\( | x | = 3 \)
\( x^2 = 3^2 \)
\( x^2 - 3^2 = 0 \)
\( (x + 3)(x - 3) = 0 \)
\( x = -3 \text{ atau } x = 3 \)
SOAL LATIHAN