What is the value of ne 0 for which x2 minus 5x and x2 minus 7x 2 have a common factor ........

Quantitative Aptitude (CDS) Quadratic Equations

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What is the value of $\alpha$ ( $\alpha$ ≠0) for which x²−5x+ $\alpha$ and x²−7x+2 $\alpha$ have a common factor?

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Explanation:

Let (x - a) is the factor of both quadratic equation.
i.e. x = a is the root of both equation.
Then x = a will satisfy both the equation.
So, x²−5x+ $\alpha$ =0 ………(i)
x²−7x+2 $\alpha$ =0 ………(ii)

By: Munesh Kumari

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What is the value of ne 0 for which x2 minus 5x and x2 minus 7x 2 have a common factor ........

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Explanation:

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