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Solve l x - 5 l + l 2 - 2x l = 11

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mattlimey | Student, Grade 11 | Honors

Posted September 1, 2013 at 8:47 AM via web

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Solve

l x - 5 l + l 2 - 2x l = 11

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 1, 2013 at 9:28 AM (Answer #1)

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The equation l x - 5 l + l 2 - 2x l = 11 has to be solved for x.

l x - 5 l + l 2 - 2x l = 11 gives 4 equations

x - 5 + 2 - 2x = 11

=> -x = 14

=> x = -14

x - 5 - 2 + 2x = 11

=> 3x = 18

=> x = 6

5 - x + 2 - 2x = 11

=> -3x = 4

=> x = -4/3

5 - x - 2 + 2x = 11

=> x = 8

The solution of the equation l x - 5 l + l 2 - 2x l = 11 is {-14, -4/3, 6, 8}

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