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Home / Doubts and Solutions/JEE/Mathematics

Question Number 10.

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Asked by Anish 28th August 2018, 2:29 PM
Answered by Expert
Answer:
begin mathsize 18px style 2 straight alpha plus 5 straight beta equals 1 straight alpha equals fraction numerator 1 minus 5 straight beta over denominator 2 end fraction....... straight A now space form space the space given space equation sum space of space roots space straight alpha plus straight beta equals fraction numerator negative 2 straight k minus 1 over denominator 5 end fraction....... straight B αβ equals fraction numerator straight k minus 2 over denominator 5 end fraction........ straight C put space straight A space in space straight B fraction numerator 1 minus 5 straight beta over denominator 2 end fraction plus straight beta equals fraction numerator negative 2 straight k minus 1 over denominator 5 end fraction 15 straight beta minus 4 straight k equals 7 2 straight k equals fraction numerator 15 straight beta minus 7 over denominator 2 end fraction put space straight A space in space straight C fraction numerator 1 minus 5 straight beta over denominator 2 end fraction straight beta equals fraction numerator straight k minus 2 over denominator 5 end fraction 5 straight beta minus 25 straight beta squared equals fraction numerator 15 straight beta minus 7 over denominator 2 end fraction minus 4 10 straight beta minus 50 straight beta squared equals 15 straight beta minus 15 50 straight beta squared plus 5 straight beta minus 15 equals 0 10 straight beta squared plus straight beta minus 3 equals 0 straight beta equals 1 half space or space fraction numerator negative 3 over denominator 5 end fraction straight alpha equals fraction numerator negative 3 over denominator 4 end fraction space or space 2 end style
Answered by Expert 29th August 2018, 10:38 AM
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