anonymous
  • anonymous
which of the following equations represent the greatest value of x? x^2=17 x^2=26 x^3=64 x^3=27 PLESE HELP IM GOING TO GET KICKED FROM MY CLASS IF ID DONT GET THIS DONE TODAY
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
please*
anonymous
  • anonymous
not really clear what this means perhaps you are supposed to solve each for x and see what it the biggest solution?
sleepyhead314
  • sleepyhead314
we know that square root of 16 = 4 so x^2 = 17 would mean that x is close to 4

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sleepyhead314
  • sleepyhead314
same idea with the second one 26 is close to 25 sqrt of 25 = 5 so x^2 = 26 means that x is close to 5
anonymous
  • anonymous
actually if \(x^2=26\) then \(x=\pm\sqrt{26}\) but i suppose you are supposed to pick that one anyway
sleepyhead314
  • sleepyhead314
to compare them I was attempting to make the numbers look friendlier, but yeah that's the more accurate form
anonymous
  • anonymous
Let's re-arrange and solve \[\large x^{2}=17 \rightarrow x=\sqrt{17}\]\[\large x^{2}=26 \rightarrow x=\sqrt{26}\]\[\large x^{3}=64 \rightarrow x=\sqrt[3]{64}\]\[\large x^{3}=27 \rightarrow x=\sqrt[3]{27}\]

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