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29 August, 19:46

What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.

K>0.

1 / (4p) (x-h) ^2+k=0

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  1. 29 August, 22:04
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    1 / (4p) (x-h) ^2+k=0

    1 / (4p) (x-h) ^2 = - k

    k (4p) (x-h) ^2+1=0

    4kp (x^2 - 2xh + h^2) + 1 = 0

    4kp x^2 - 8kph x + 4kph^2+1 = 0

    D = (-8kph) ^2 - 4 (4kp) (4kph^2+1) = 64 (kph) ^2 - 64 (kph) ^2 - 16kp

    D = - 16kp < 0

    SO discriminant is always less than 0
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