First slide
Theory of equations

Suppose aI and the equation (x-a) (x-5) = 3 has integral roots, then the set of values which ‘a ’ can take is:


Let m I be a root of (x - a) (x-5) = 3.then

(m-a) (m -5) = 3
As m-a and m - 5 are integers, m5=±1 or m5=±3

m= 2, 4, 6, 8.
Thus, a = 3,7.

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