解不等式X^2-(3a-2)X+2a^2-a-3

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解不等式X^2-(3a-2)X+2a^2-a-3

解不等式X^2-(3a-2)X+2a^2-a-3
解不等式X^2-(3a-2)X+2a^2-a-3

解不等式X^2-(3a-2)X+2a^2-a-3
x²+(-3a+2)x+(2a-3)(a+1)

X²-(3a-2)X+2a²-a-3<0
∵2a²-a-3=(2a-3)(a+1)
 ∴X²-(3a-2)X+2a²-a-3
  =[x-(2a-3)][x-(a+1)]<0
①当2a-3>a+1,即a>4时
 X²-(3a-2)X+2a²-a-3<0的解为:(a+1,2a-3)
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X²-(3a-2)X+2a²-a-3<0
∵2a²-a-3=(2a-3)(a+1)
 ∴X²-(3a-2)X+2a²-a-3
  =[x-(2a-3)][x-(a+1)]<0
①当2a-3>a+1,即a>4时
 X²-(3a-2)X+2a²-a-3<0的解为:(a+1,2a-3)
②当2a-3>a+1,即a=4时
 x²<0 无解
 X²-(3a-2)X+2a²-a-3<0无解
③当2a-3 X²-(3a-2)X+2a²-a-3<0的解为:(2a-3,a+1)

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