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(1) x₁ + x₂ = -2a/(a - 6), x₁x₂ = a/(a - 6)
-x₁ + x₁x₂ = 4 + x₂
x₁x₂ = 4 + x₁ + x₂
a/(a - 6) = 4 - 2a/(a - 6)
a = 24
(2)
(x₁ + 1)(x₂ + 1) = x₁x₂ + (x₁ + x₂) + 1
= a/(a - 6) - 2a/(a - 6) + 1
= -6/a - 6)
要使其为负整数,须a-6为1, 2, 3,或6 (6的正数因子)
a - 6 = 1: a = 7
a - 6 = 2: a = 8
a - 6 = 3: a = 9
a - 6 = 6, a = 12
-x₁ + x₁x₂ = 4 + x₂
x₁x₂ = 4 + x₁ + x₂
a/(a - 6) = 4 - 2a/(a - 6)
a = 24
(2)
(x₁ + 1)(x₂ + 1) = x₁x₂ + (x₁ + x₂) + 1
= a/(a - 6) - 2a/(a - 6) + 1
= -6/a - 6)
要使其为负整数,须a-6为1, 2, 3,或6 (6的正数因子)
a - 6 = 1: a = 7
a - 6 = 2: a = 8
a - 6 = 3: a = 9
a - 6 = 6, a = 12
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(1) x&#8321; + x&#8322; = -2a&#47;(a - 6)cg x&#8321;x&#8322; = a&#47;(a - 6)-x&#8321; + x&#8321;x&#8322; = 4 + x&#8322;x&#8321;x&#8322; = 4 + x&#8321; + x&#8322; a&#47;(a - 6) = 4 - 2a&#47;(a - 6)a = 24(2)(x&#8321; + 1)(x&#8322; + 1) = x&#8321;x&#8322; + (x&#8321; + x&#8322;) + 1= a&#47;(a - 6) - 2a&#47;(a - 6) + 1= -6&#47;a - 6)要使其为负整数,须a-6为1, 2, 3,或6 (6的正数因子)a - 6 = 1: a = 7a - 6 = 2: a = 8a - 6 = 3: a = 9a - 6 = 6, a = 12
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