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Question
If the equation x2 + 5kx + 16 = 0 has no real roots then
Options
`k > 8/5`
`k < (-8)/5`
`(-8)/5 < k < 8/5`
none of these
MCQ
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Solution
`bb((-8)/5 < k < 8/5)`
Explanation:
It is given that the equation (x2 + 5kx + 16 = 0) has no real roots.
∴ (b2 – 4ac) < 0
⇒ (5k)2 – 4 × 1 × 16 < 0
⇒ 25k2 – 64 < 0
⇒ `k^2 < 64/25`
⇒ `(-8)/5 < k < 8/5`
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