Solve the function 4|2x+4|−7=17

Johns Mathew asked Dec 13, 2023

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Johns Mathew asked Dec 13, 2023

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26 votes

Answer:

x = 1 or
x = -5

Explanation:

$4|2x + 4|-7 = 17\\\to4|2x + 4| = 24\\\to |2x + 4| = 6$

Case 1) 2x + 4 is positive

$2x + 4 = 6\\\to 2x = 2\\\to x = 1$

Case 2) 2x + 4 is negative

$2x + 4 = -6\\\to 2x = -10\\\to x = -5$

Zulander answered Dec 17, 2023

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