Recent content by pokemeharder

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    What are the Intersection Points of a Circle and a Line?

    Homework Statement I'm completely stuck on this question I'll write the whole thing down Consider the circle x² + y² = 25 and the line y = x + k. where k is any real number. Determine the values of k for which the line will intersect the circle in one, two or no points. PLEEEASE help me...
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    Finding Intersection of Line and Circle: A Challenging Problem

    XD right sry i feel stupid now um thanks alot
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    Finding Intersection of Line and Circle: A Challenging Problem

    oh yeah right... didnt see that how do u deal with the root properly then lol
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    Finding Intersection of Line and Circle: A Challenging Problem

    thats why it doesn't work out its not quadratic anyways there's no x squared
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    Finding Intersection of Line and Circle: A Challenging Problem

    the square root of -1 is called i its always called i
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    Finding Intersection of Line and Circle: A Challenging Problem

    well u change it into sqr(25) x sqr(-x^2) then u sqroot the 25 to 5 and the sqr root of -x^2 is sqr(-1) x sqr(x^2) so its 5ix i = sqr(-1)
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    Finding Intersection of Line and Circle: A Challenging Problem

    well if u set the y values to equal each other 3/4x + 35/4 = sqr root of (25 - x^2) you get 0 = -3/4x + 5ix + 35/4
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    Finding Intersection of Line and Circle: A Challenging Problem

    so wait this function 0 = -3/4x + 5ix + 35/4 has no real solutions because there is a complex number right?
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    Finding Intersection of Line and Circle: A Challenging Problem

    now i just need to show that the circle and the line don't intersect algrebraecally or however you spell it.
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    Finding Intersection of Line and Circle: A Challenging Problem

    well i graphed it and it showed no intersection
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    Finding Intersection of Line and Circle: A Challenging Problem

    i kno but i gor to 0 = -3/4x + 5ix + 35/4 and i don't really kno how to solve that
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    Finding Intersection of Line and Circle: A Challenging Problem

    ah can someone do this for me please, I'm stuck
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