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.

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.

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## Comments

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TopNewest3 – Jitendra Sharma · 1 year, 5 months ago

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– Dev Sharma · 1 year, 5 months ago

Sorry, answer isn't sufficient.Log in to reply

@Pi Han Goh @Nihar Mahajan @Satyajit Mohanty @Kushagra Sahni @Swapnil Das @Kazem Sepehrinia @Calvin Lin – Dev Sharma · 1 year, 5 months ago

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– Kushagra Sahni · 1 year, 5 months ago

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

– Dev Sharma · 1 year, 5 months ago

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– Kushagra Sahni · 1 year, 5 months ago

I will definitely try them my friend.Log in to reply

– Swapnil Das · 1 year, 5 months ago

Thanks for mentioning me. I will surely try them.Log in to reply