Hello . My doubt is that …
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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 .
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Soumya Ghoshal 6 years, 7 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