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the omplete set of value for which the product of roots of the equation (a^2-3a+2)x^2+3x+4a^2-7a+3=0 is less than 3 is?

the  omplete set of value for which the product of roots of the equation (a^2-3a+2)x^2+3x+4a^2-7a+3=0 is less than 3 is?

Grade:11

1 Answers

Aditya Gupta
2081 Points
5 years ago
the product is (4a^2-7a+3)/(a^2-3a+2)
or  (4a^2-7a+3 – 3a^2+9a – 6)/(a^2-3a+2)
(a^2+2a – 3)/(a^2-3a+2)
(a – 1)(a+3)/(a-1)(a-2)
or a belongs to (-3, 1)U(1, 2)

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