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Grade 11Algebra

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?????

Profile image of Parth Malik
15 Years agoGrade 11
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1 Answer

Profile image of sanchit sood
15 Years ago

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