Question

If the equation x^2 + 2 (k + 1) x + 9k - 5 = 0 has only
negative roots, then the least value of k is
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Answer 1

Hlo Friends,.

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Discriminant <0

4(k+1)² -4(9k-5) <0

k² + 1 +2k -9k +5<0

k² -7k +6<0

(k-1)(k-6)<0

k € (1,6)

HOPE IT'S HELP YOU!!!

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Answer 2

Discriminant <0

4(k+1)² -4(9k-5) <0

k² +1 +2k -9k +5<0

k²-7k +6<0

(k-1)(k-6)<0

k € (1,6)