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CBSE Class 10 Answered

If alpha and beta are the zeroes of the polynomial f(x)=ax2+bx+c. Then evaluate Alpha cube \ beta cube +beta cube / alpha cube.  
Asked by jindalsiddharth725 | 11 Jun, 2018, 03:33: PM
answered-by-expert Expert Answer
begin mathsize 16px style ax squared space plus space bx space plus space straight c space equals space 0
straight alpha space space and space straight beta space are space the space roots space of space the space given space Polynomial.
rightwards double arrow space straight alpha space plus space straight beta space equals space fraction numerator negative straight b over denominator straight a end fraction space and space space αβ space equals space straight c over straight a
straight alpha cubed over straight beta cubed space plus space straight beta cubed over straight alpha cubed space equals space fraction numerator straight alpha to the power of 6 space plus straight beta to the power of 6 space over denominator straight alpha cubed straight beta cubed end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
Use space the space formulas colon space straight alpha to the power of 6 space plus straight beta to the power of 6 space space equals space left parenthesis straight alpha squared space plus space straight beta squared space right parenthesis cubed space minus space 3 straight alpha squared straight beta squared space left parenthesis straight alpha squared space plus space straight beta squared space right parenthesis space space and space straight alpha squared space plus space straight beta squared space equals left parenthesis space straight alpha space plus space straight beta space right parenthesis squared space minus space 2 αβ
end style
Answered by Yasmeen Khan | 12 Jun, 2018, 12:21: PM
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