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Strictly Increasing Functions

Find the valu...

Question

Find the value (s) $k$ for which the equation $x^{2} + 5 k x + 16 = 0$ has real and equal roots.

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Solution

Condition for real and equal roots is $b^{2} = 4 a c (5 k)^{2} = 4 (16) 25 k^{2} = 64 k^{2} = \frac{64}{25} k = \pm \frac{8}{5}$

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Q. Find the value(s) of

k

for which the equations

x^{2} + 5 k x + 16 = 0

has real and equal roots.

Q. If the equation

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k > \frac{8}{5}

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(d) none of these

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