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Grade: 11
        
for what integral values of 'a' for which the equation x^2-x(1-a)-(a+2)=0 has integral roots.
3 years ago

Answers : (2)

Faiz
107 Points
							Using the quadratic formula:Roots =[ ( 1- a ) +- √ { ( 1- a )² + 4( a + 2 ) } ] / 2For the roots to be integral firstly discriminat should be a perfect square and then overall numerator should be even...Considering only discriminant: -> √ { ( 1 + a )² + 8 } ] ( on simplifying )Only one case can make it a perfect square and that is ( 1 + a )² should be 1 which gives a=0 and the roots are also integral...Hence ans:::: a = 0...
						
3 years ago
jagdish singh singh
173 Points
							
http://www.askiitians.com/forums/Algebra/for-what-integral-values-of-a-the-equation-x-2-x_155526.htm
3 years ago
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