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Find the values of the parameter 'a' for...

Find the values of the parameter 'a' for which the roots of the quadratic equation `x^2+2(a -1)x+a+5=0` are (i) real and distinct (ii) equal (iii) opposite in sign (iv) equal in magnitude but opposite in sign (v) positive (vi) negative (vii) greater than `3` (viii) smaller than `3` (ix) such that both the roots lie in the interval `(1, 3)`

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The correct Answer is:
`rArr in (-(8)/(7),-1]uuu[4,oo)`
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