find the integer k for which the inequality x^2 – 2(4k-1)x + 15k^2 – 2k – 7 0 is valid for any x

Question

find the integer k for which the inequality x^2 – 2(4k-1)x + 15k^2 – 2k – 7 > 0 is valid for any x

Ajay · Answer

The inequality will be greater than zero if D is less than zero 4(4k-1) 2 – 4(15k 2 – 2k – 7) less than zero Simplifying this we get K 2 -6k+8 less than zero (k-4)(k-2) less than zero K lies in (2, 4)

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find the integer k for which the inequality x^2 – 2(4k-1)x + 15k^2 – 2k – 7 > 0 is valid for any x

find the integer k for which the inequality x^2 – 2(4k-1)x + 15k^2 – 2k – 7 > 0 is valid for any x

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find the integer k for which the inequality x^2 – 2(4k-1)x + 15k^2 – 2k – 7 > 0 is valid for any x

find the integer k for which the inequality x^2 – 2(4k-1)x + 15k^2 – 2k – 7 > 0 is valid for any x

1 Answers

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