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antoniocalvert9 antoniocalvert9
  • 09-11-2014
  • Mathematics
Answered

what two numbers multiply to 36 and add to 7?

Verified Answer :

DavidShotter DavidShotter
  • 09-11-2014

there aren't any solutions


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kate200468
kate200468 kate200468
  • 09-11-2014

\(x\cdot y=36\ \ \ and\ \ \ x+y=7\\\\y=7-x\ \ \ \Rightarrow\ \ \ x(7-x)=36\\\\7x-x^2=36\\\\-x^2+7x-36=0\ \ \ \Rightarrow\ \ \ \Delta=7^2-4\cdot(-1)\cdot(-36)=49-144=-95\\\\\Delta<0\ \ \ \Rightarrow\ \ \ not\ exist\ real\ solution\)

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