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If the difference between the roots of the equation x2 + ax + 1 = 0 is less than 5 , then the set of possible values of a is ?

If the difference between the roots of the equation x2 + ax + 1 = 0 is less than 5 , then the set of possible values of a is ?

Grade:12

1 Answers

abhishek sharma
34 Points
6 years ago
roots of this eq are -a/2 ± 1/2*(a^2-4)^1/2, so diff of roots are {-a/2 + 1/2*(a^2-4)^1/2} - { -a/2 - 1/28(a^2-4)^1/2} =(a2-4)^1/2 which is less than5
 a2-4 less than 25
a2 less than 29 or a is bw ± root29

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