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Haymond36 Haymond36
  • 26-03-2015
  • Mathematics
Answered

lee is thinking of 2 numbers, the product is 18.the quotient is 2. what are yhe two numbers?

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konrad509
konrad509 konrad509
  • 26-03-2015

\(xy=18\\ \dfrac{x}{y}=2\\\\ xy=18\\ x=2y\\\\ 2y\cdot y=18\\ 2y^2=18\\ y^2=9\\ y=-3 \vee y=3\\\\ x=2\cdot (-3) \vee x=2\cdot 3\\ x=-6 \vee x=6\\\\ \boxed{(x,y)=\{(-6,-3),(6,3)\}}\)

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