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algebra

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find the possible values of a, if the distance between the points is 5, and the coordinates are (1,1) and (4,a)

  • algebra -

    d^2 = (a-1)^2 + 9 = 25

    a^2 -2a + 10 = 25
    a^2 - 2a = 15
    a^2 - 2a - 15 = 0

    a = [ 2 +/- sqrt(64))/2
    a = 2+/- 8
    a = 10 or -6

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