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20-12-2020
Mathematics

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E/P 14)The equation 2x²+ 4kx - 5k = 0, where k is a constant, has no real roots.
Prove that k satisfies the inequality -5/2<k<0.

Respuesta :

ChoiSungHyun ChoiSungHyun

20-12-2020

Step-by-step explanation:

Discriminant = 16k² - 4(2)(-5k)

Since 16k² + 40k < 0, 2k² + 5k < 0, k(2k + 5) < 0.

Therefore -5/2 < k < 0.

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