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Quadratics!

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astarmathsandphysics:

--- Quote from: Z.J. on September 28, 2009, 10:26:58 pm ---Find the value of k such tht the st. line y=2x+k meets the curve x2+2xy+2y2=5.

i started buh got stuck in between....

answer urgently anyone if possible!
thanks!

--- End quote ---



Substitute y=2x+k to get so
so

Since the curve meets the line at only one point the discriminant= where a=13, b=10k and c=

We get which simplifies to -4k^2+260=0 so k=

Ghost Of Highbury:
yuppiee!!

my answer was correct...except the > sign

astarmathsandphysics:
I saw this yeasterday but forgot and only noticed it again this morning.

zara:
thanks astar n adi!
i figured out my mistake later...=]

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