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Find the integral values of “a” for which the equation x^4-(a^2-5a+6) x^2-(a^2-3a+2)=0 has real solutions only i posted this question before but i was not convinced with the solution. it was solved by assuming the roots of the equation are greater than zero. HOW CAN WE ASSUME THAT THE ROOTS ARE GREATER THAN ZERO?????

Find the integral values of “a” for which the equation x^4-(a^2-5a+6) x^2-(a^2-3a+2)=0 has real solutions only


i posted this question before but i was not convinced with the solution. it was solved by assuming the roots of the equation are greater than zero. HOW CAN WE ASSUME THAT THE ROOTS ARE GREATER THAN ZERO?????

Grade:11

1 Answers

sanchit sood
31 Points
11 years ago

as roots are real
therefore
determinant would be greater than or equal to zero 

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