Question

Теңдеуді шешіңіз а ) | x | = 6 b ) | x - 8 | = 0 c) 3|x| = 15​

Answer 1

Пошаговое объяснение:

$a) |x|=6\\\\|x|=6 \Rightarrow\left[\begin{array}{ccc}x=6\\x=-6\end{array}\right\\\\b) |x-8|=0\\\\x-8=0\\x=8\\\\c) 3|x|=15\\\\|x|=5\Rightarrow \left[\begin{array}{ccc}x=5\\x=-5\end{array}\right$

Answer 2

а) |x| = 6: |x| = 6 means that the absolute value of x is equal to 6. Since absolute value represents the distance of a number from zero on the number line, this equation has two possible solutions: x = 6 and x = -6.

b) |x - 8| = 0: For |x - 8| = 0, the absolute value of x - 8 equals zero. This implies that x - 8 must be zero, so x = 8 is the only solution to this equation.

c) 3|x| = 15: To solve 3|x| = 15, divide both sides of the equation by 3: |x| = 5. This equation has two possible solutions: x = 5 and x = -5.