Question

Find the values of k for which the equation

x2
+ 5kx + 16 = 0

has no real roots.​

Answer 1

Step-by-step explanation:

1/4 is a value of k .

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Answer 2

Answer:

${x}^{2} + 5kx + 16 = 0 \\ {x}^{2} + 5kx = - 16 \\ x + 5kx = - 4 \\ {x}^{2} + 5k = - 4 \\ x + 5k = - 2 \\ x + k = \frac{ - 2}{ 5} \\ k = \frac{2x}{5}$

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