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Hello . My doubt is that I want solution ( How to solve it , step-by-step) of the following Question : " if (Alpha)+(Beta)=3 and (Alpha)(Cube)+(Beta)(Cube)=7 , then (Alpha) and (Beta) are roots of equation "........................ .I hope that you would reply me soon .

Posted by Abhinav Ambatipudi 7 years, 6 months ago

Entrance Exam > JEE main > Mathematics

1 answers

Soumya Ghoshal 7 years, 4 months ago

a+b=3 i. e. b=3-a

a ³+b³=7 (Given)

(a+b) ³-3ab(a+b)=7

Or, 27-9ab=7

Or, ab=20/9

Now, a(3-a)=20/9

Or, 9a²-27a+20=0

Solving by Sreedhar Achrya's formula,

We get,

a=5/3 or 4/3

and b=4/3 or 5/3

1Thank You

ANSWER

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Entrance Exam > JEE main > Mathematics