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anonymous
 one year ago
The equation of a curve is xy=8 and the equation of a line is 2x+y=k, where k is a constant. Find the values of k for which the line forms a tangent to the curve.
I don't really know how to approach this question, I think I am just missing a few steps. Will post what I tried too.
anonymous
 one year ago
The equation of a curve is xy=8 and the equation of a line is 2x+y=k, where k is a constant. Find the values of k for which the line forms a tangent to the curve. I don't really know how to approach this question, I think I am just missing a few steps. Will post what I tried too.

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.2there is an error on the second line 2x + 8/x = k 2x^2 + 8 = kx

alekos
 one year ago
Best ResponseYou've already chosen the best response.0that's pretty close but b^2  4ac = k^2  64

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, if I fix that mistake though I get 2x^2kx+8=0 right? So wouldn't that mean that b^24ac= k^2 64?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2no b^2 = (k)^2 = k^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so because its squared it will be positive anyway and you can change the sign?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, just making sure :) Thanks for all the help on this question!

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2so how would you proceed from here?
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