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Math Help - quadradics

  1. #1
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    Exclamation quadradics

    I have two questions im stuck on...

    #1 Find the value(s) for k for which 2(x-1)^2+2k=10
    (a)exactly one real solution
    (b)no real solution

    #2
    (a)Enter the following function into the graph menu on you calculator
    2X^2+81200=2Y-800X
    (b)Graph this function and copy it on to this page clearly labeling any significant features
    (c)Using your calculator move the table menu, set a DOMAIN to 0<X<10 with a pitch of 2 and produce a table
    (d)What is the last entry?
    (e)What does it represent?
    (f)Describe how we would find f(2.15) using these table functions

    if anyone knows how to do these can you PLEASE help me?

    thank you!
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  2. #2
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    Quote Originally Posted by NESS. View Post
    I have two questions im stuck on...

    #1 Find the value(s) for k for which 2(x-1)^2+2k=10
    (a)exactly one real solution
    (b)no real solution

    ...
    Solve the equation for x:

    2(x-1)^2+2k=10 ~\implies~ (x-1)^2 = \frac12 \cdot (10-2k)~\implies~ |x-1| = \sqrt{5-k}

    to (a): There exists only one real solution if the RHS equals zero that means: k = 5

    to (b): If the radical is negative then you don't get a real solution: k > 5


    to #2: You should mention which model of calculator you use ...
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