Question

if alpha and beta are the zeros of the quadratic polynomial F(X) equal to x square - 5 x + 4, find the value of one by Alpha Plus One by beta -2 alpha beta

Answer 1

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Answer 2

Heya !!!

F(X) = X²-5X+4

Here,

A = 1 , B = -5 and C = 4

Sum of zeroes = -B/A

Alpha + Beta = -(-5)/1

Alpha + Beta = 5

And,

Product of zeroes = C/A

Alpha × Beta = 4/1

Alpha × Beta = 4

Therefore,

1/ Alpha + 1/Beta - 2 × Alpha × Beta

=> Beta + Alpha - 2× Alpha × Beta × (AlphaBeta) / Alpha Beta

=> Alpha + Beta/ Alpha beta - 2 × Alpha Beta


=> 5/4 - 2 × 4


=> 5/4 - 8


=> 5-32/4


=> -27/4



HOPE IT WILL HELP YOU....... :-)