Answers

2014-04-27T13:02:47+05:30
1). α + β = -b/a = 7/6
α×β= c/a = 3/6 = 1/2
(i) α² + β² = (α+β)² - 2αβ =
                   (7/6)² - 2(1/2) = 49/36 -1 =13/36.
(ii) 1/α + 1/β = α+β/αβ = (7/6)/(1/2) = 7/3
(iii) 1/α + 1/β - 2αβ = α+β/αβ -2αβ = 7/3 - 2(1/2) = 7/3 - 1 = 4/3
2). (2x^4 -9x³ +5x²+3x-8)/x²-4x+1 = 2x²-x-1+( -4/x²-4x+1)
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