InterviewSolution
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InterviewSolution
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Find the value of `k` such that `x^2+2x+9k-5=0` has both roots negative. |
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Answer» For both roots to be negative, `D ge 0`. `=>b^2 - 4ac ge 0` `=>2^2 - 4(9k-5) ge 0` `=>4-36k+20 ge 0` `=>k le 24/36=>k le 2/3->(1)` Also, for roots to be negative, their product should be greater than `0`.`:. 9k-5 gt 0=> k gt 5/9` So, value of k should be greater than `5/9` and less than or equal to `2/3`. |
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