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If one solution of 3x2 -8x-(2k+1) …

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If one solution of 3x2 -8x-(2k+1) is seven times the other, find the value of k

Posted by Bhavesh B Nair 4 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 4 years, 3 months ago

p(x)=3x²-2k+1

zeroes=α,7α

sum of zeroes= - b/a

α+7α= -(2k/3)

8α=2k/3

8α×3=2k

24∝=2k

k=12∝ (1)

product of zeroes= c/a

∝×7∝=1/3

7∝²=1/3

∝²=1/(3×7)

∝²=1/21

∝=±1/√21

∵∝=±1/√21

∴k=12(±1/√21)

k = ±12/√21

1Thank You

ANSWER

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CBSE > Class 10 > Mathematics