Mathematics
Grade-11
Easy

Question

Use the zero-product property to solve
left parenthesis x plus 6 right parenthesis left parenthesis x minus 2 right parenthesis equals negative 16

  1. 2
  2. negative square root of 2
  3. square root of 2
  4. -2

The correct answer is: -2


    left parenthesis x plus 6 right parenthesis left parenthesis x minus 2 right parenthesis equals negative 16
x squared plus 4 x minus 12 equals negative 16
x squared plus 4 x plus 4 equals 0
left parenthesis x plus 2 right parenthesis left parenthesis x plus 2 right parenthesis equals 0
x plus 2 equals 0
x plus 2 minus 2 equals 0 minus 2
x equals negative 2
    The solution is -2. The solution set is {-2}.

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