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kae1 kae1
  • 11-05-2015
  • Mathematics
Answered

What are the values of x in the equation x(x-6)=4(x+6)?

  1. -6, 6
  2. -12,2
  3. -2, 12
  4. -6, 0, 6

Verified Answer :

konrad509
konrad509 konrad509
  • 11-05-2015

\(x(x-6)=4(x+6)\\ x^2-6x=4x+24\\ x^2-10x-24=0\\ x^2+2x-12x-24=0\\ x(x+2)-12(x+2)=0\\ (x+2)(x-12)=0\\ x=-2 \vee x=12\\\\ \boxed{3}\)

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