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a = 6
b = -7
c = 2
α + β = -b/a
= 7/6
αβ = c/a
= 2/6 = 1/3
(i) 1/α + 1/β = (β + α)/αβ
= (7/6)/(1/3)
= (7*3)/(1*6)
= 7/2
(ii) α^2 + β^2 = (α + β)^2 + 2αβ
= (7/6)^2 + 2(1/3)
= 49/36 + 2/3
= (49+24)/36
= 73/36 = 1.87
(iii) 2α + 2β = 2(α + β)
= 2(7/6)
= 7/3 = 2.3
Hope the answeres r correct......................
b = -7
c = 2
α + β = -b/a
= 7/6
αβ = c/a
= 2/6 = 1/3
(i) 1/α + 1/β = (β + α)/αβ
= (7/6)/(1/3)
= (7*3)/(1*6)
= 7/2
(ii) α^2 + β^2 = (α + β)^2 + 2αβ
= (7/6)^2 + 2(1/3)
= 49/36 + 2/3
= (49+24)/36
= 73/36 = 1.87
(iii) 2α + 2β = 2(α + β)
= 2(7/6)
= 7/3 = 2.3
Hope the answeres r correct......................
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