Theory of Equations 4 Question 5

6. If b>a, then the equation (xa)(xb)1=0 has

(a) both roots in (a,b)

(2000, 1M)

(b) both roots in (,a)

(c) both roots in (b,+)

(d) one root in (,a) and the other in (b,)

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Solution:

From graph, it is clear that one of the roots of (xa)(xb)1=0 lies in (,a) and other lies in (b,).



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