Mathematics
Ofelia663
26

Solve for x: |x + 2| + 16 = 14 1.x=-32and x=-4 2.x=-4and x=0 3.x=0 and x=28 4. no solution

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(2) Answers
scottyy

[latex]|x+2|+16=14 \ \ \ \ | subtract\ 16\\\\ |x+2|=-2\\\\ x+2=-2\ \ \ or\ \ \ -x-2=-2\\\\ x=-4\ \ \ \ or\ \ \ \ \ -x=0\\\\ x=-4\ \ \ or\ \ \ \ x=0[/latex]

satanscookies

(x+2) + 16 = 14 -16]              [-16             x+2 = -2 -2]                  [-2              x = -4 so the logical option is option 2, but you should put your numbers back into the original equation to check they're right. when x = -4 (x+2) +16 = (-4 +2) +16 = -2 + 16 = 14            which is correct when x = 0 (x+2) + 16 = (0+2) + 16 = 2 + 16 = 18           which is incorrect and since we worked out x and know that none of the other numerical options are possible, I would say option 4 (no solution) is the answer. Hope this helped. 

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