if alpha beta are the zeros of the polynomial 5 x square
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If alpha and beta are the zeros of the polynomial 5 x square - 7 x + 2 the sum of their reciprocal is
5x²-7x+2
5x²-5x-2x+2
(5x²-5x)-(2x-2)
5x(x-1)-2(x-1)
(x-1)(5x-2)=0
x-1=0,5x-2=0
x=1,x=2/5
alpha=1 and beta=2/5
1+1/2/5
1+5/2
2+5/2
7/2
hence the sum of reciprocal of zeroes is 7/2
Hope it’s help :)
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