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Let x^2-(m-3)x+m=0 (mepsilonR) be a quad...

Let `x^2-(m-3)x+m=0 (mepsilonR)` be a quadratic equation . Find the values of m for which the roots are (i) real and distinct (ii) equal (iii) not real (iv) opposite in sign (v) equal in magnitude but opposite in sign (vi) positive (vii)negative (viii) such that atleast one is positive

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