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Determine a such that x2-11x+a and x2-14x +2a may have a common factor.​

Determine a such that x2-11x+a and x2-14x +2a may have a common factor.​

Grade:12

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello Student,
\\ \\x^2-11x+a \\x^2-14x +2a \\$there will be several values of a$ \\ \\x_{eq1}={11 \pm \sqrt{121-4a} \over 2} \\x_{eq2}={14 \pm \sqrt{196-8a} \over 2} \\$you can equate any one of them to find a $ \\
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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