For what integral values of ‘a’ , the equation x 2 -x(1-a) – (a+2) = 0 has integral roots. Find the roots.

Question

Ajay · Answer

For roots to be a interger the D should be perfect square. Here D = (1-a) 2 +4(a+2) = a 2 +2a+9 Now D can take up any up the follwing values to be a perfect square 1,4,9,16.25 etc selecting D =9 will give you inegral values for a as well as roots. so a 2 +2a+9 = 9, solve for a and get the remaining answer

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For what integral values of ‘a’ , the equation x 2 -x(1-a) – (a+2) = 0 has integral roots. Find the roots.

For what integral values of ‘a’ , the equation x²-x(1-a) – (a+2) = 0 has integral roots. Find the roots.

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For what integral values of ‘a’ , the equation x 2 -x(1-a) – (a+2) = 0 has integral roots. Find the roots.

For what integral values of ‘a’ , the equation x2-x(1-a) – (a+2) = 0 has integral roots. Find the roots.

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For what integral values of ‘a’ , the equation x²-x(1-a) – (a+2) = 0 has integral roots. Find the roots.