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

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
real and distinct

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Let f(x) =`x^2+2(a-1)x+a+5=Ax^2+Bx+C`(say)
`implies` A=1, B=2(a-1), C=a+5
also D=`B^2-4Ac`=`4(a-1)^2-4(a+5)=4(a+1)(a-4)
`Dgt0`
`implies`(a+1)(a-4)`gt`0
`implies ain(-infty,-1)cup(4,infty)`
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