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anonymous
 one year ago
I don't know how to approach this question, please help!
Find the value of the constant c for which the line y=4x+c is a tangent to the curve y^2=4x
anonymous
 one year ago
I don't know how to approach this question, please help! Find the value of the constant c for which the line y=4x+c is a tangent to the curve y^2=4x

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is what I tried but it doesn't seem to be going anywhere.

rock_mit182
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 help us out

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\(16x^24x =8xcc^2 \) rearrange the equation in standard form \(16x^2+x(8c4) + c^2 = 0\) For the line to be a tangent, you want the discriminant to be \(0\) : \((8c4)^2  4*16*c^2=0\) solve \(c\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am a bit confused with how you rearranged it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How did you decide to put those numbers in the brackets?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2I wanted to see a quadratic in \(x\), so arranged it in decreasing exponent of \(x\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Notice that the equation is in form \(ax^2+bx+c=0\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, I think I understand better now. So if I started working on it from that last line I would be going in the right direction with it?
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