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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Mathematics

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27 March, 08:43

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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Dillan Rogers · Answer 1

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

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

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