anonymous
  • anonymous
find solutions for x: sqrt{x^2-11=5}
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\sqrt{x^2-11=5}\]
anonymous
  • anonymous
you mean \[\sqrt{x^2-11} =5\] most likely
anonymous
  • anonymous
sqaure both sides x^2 -11 = 25 x^2 = 36 x= +- 6

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anonymous
  • anonymous
BUT
anonymous
  • anonymous
it has no solutions
anonymous
  • anonymous
because if you put either +6 or -6 into the LHS you end up needing to take the sqrt of a negative
anonymous
  • anonymous
so , has no real solutions
anonymous
  • anonymous
you need to check your answers by subbing in if you ever have a sqaure root or a logarithm or divide by a variable

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