Question

33. If a and B are the zeroes of the polynomial
6y2 - 7y + 2, find a quadratic polynomial. whose zeroes are 1 upon alpha and 1,upon bita


whose zeroes are and [CBSE 2011)
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

6y^2 - 7y + 2=0

6y^2 - 4y -3y + 2=0

2y(3y - 2)-1(3y - 2)=0

(2y-1)(3y-2)=0

(2y-1)= 0 (3y-2)=0

y=1/2 y=2/3

1/alpha=2 1/beta= 3/2

quadratic polynomial. whose zeroes are 1 upon alpha and 1,upon bita = k( y2-(1 upon alpha + 1,upon bita) y+

(1 upon alpha X 1,upon bita)

k(y^2- (2+3/2) y+2 X 3/2)

= k(y^2- (7/2) y+2 )

put k=2 ==> =2y^2-6y+4