If alpha and beta are the zeroes of the quadratic polynomial p(x)=x^2-(k+6)x+2(2k+1) , then find the value of k if alpha + beta = ( alpha*beta )/2 . Please make it fast .. Its Urgent !
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10
Answer:
Answer is k=5
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harita14:
did u understand it
Answered by
20
Hey
@ + $ = k+6
@$ = 4k+2
@ + $ = @$/2
2(@+$) = @$
2(k+6) = 4k + 2
2k + 12 = 4k + 2
4k - 2k = 12 - 2
2k = 10
k = 10/2
k = 5
Note :- consider @ as alpha and $ as beta
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