Verified answer

(x - 4)^(1/3) = - 5

((x - 4)^(1/3))^3 = (- 5)^3

x - 4 = - 125

x = - 121, answer!

?2|x ? 3| = ?12 |x ? 3| = 6 x ? 3 = ± 6 x = 3 ± 6 x = ?3, x = 9 ???????????????????? ?5|3x ? 2| = ?15 |3x ? 2| = 3 3x ? 2 = ± 3 3x = 2 ± 3 x = 2/3 ± a million x = ?a million/3, x = 5/3 |2x ? 9| = 11 2x ? 9 = ± 11 2x = 9 ± 11 x = (9 ± 11) / 2 x = ?a million, 10 Equation #a million and Equation #2 have the comparable type of suggestions. ???????????????????? hint: For n > 0, y = linear expression: |y| = ?n -----> no suggestions |y| = 0 ------> a million answer |y| = n ------> 2 suggestions 2|x ? 3| + 4 = 6 |x ? 3| = a million -----> 2 suggestions ???????????????????? 3|2x ? a million| ? 4 = 29 3|2x ? a million| = 33 |2x ? a million| = 11 2x ? a million = ± 11 2x = a million ± 11 x = (a million ± 11) / 2 x = ?5, x = 6 ???????????????????? paintings backwards: |y| = ?n |2x + 3| = ?5 3|2x + 3| = ?15 20 + 3x|2x + 3| = 5 M?thm?m

The way you wrote it, it looks like the sqrt(x - 4) is an exponent of 3. Is that really what you had?

Or was it a radical sign with a small 3 written next to it, which would indicate cube root?

You'd know if you payed attention in class.