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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, 3 months ago

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3

- 2 years, 3 months ago

- 2 years, 3 months ago

- 2 years, 3 months ago

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

- 2 years, 3 months ago

Show full..

- 2 years, 3 months ago

I will definitely try them my friend.

- 2 years, 3 months ago

Thanks for mentioning me. I will surely try them.

- 2 years, 3 months ago