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Nice problems!

1) Find the constant \(a\) such that functions \(f(x) = ax^2 + 2x - 1\) and \(g(x) = x^2 + 4x + a\) have a common root.

2) Find \(m\) such that equation \(x^3 + mx - 1 = 0\) and \(x^3 - 3x + m = 0\) have a common root.

Note by Dev Sharma
2 years, 1 month ago

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1 vote

  Easy Math Editor

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Jitendra Sharma - 2 years, 1 month ago

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Sorry, answer isn't sufficient.

Dev Sharma - 2 years, 1 month ago

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a=3, we can use the quadratic formula in both functions.

Kushagra Sahni - 2 years, 1 month ago

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Show full..

Dev Sharma - 2 years, 1 month ago

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I will definitely try them my friend.

Kushagra Sahni - 2 years, 1 month ago

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Thanks for mentioning me. I will surely try them.

Swapnil Das - 2 years, 1 month ago

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