SOLUTION: Is it possible that a second degree polynomial wit integer coefficients has one rational and one irrational zero? If so, give an example.

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Question 1014630: Is it possible that a second degree polynomial wit integer coefficients has one rational and one irrational zero? If so, give an example.
Found 2 solutions by FrankM, stanbon:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
No. Second degree (quadratic) equations must have roots as pairs. 2 rational, 2 irrational, or even a double root. Never one of each.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Is it possible that a second degree polynomial with integer coefficients has one rational and one irrational zero? If so, give an example.
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Start with the answer and generate the quadratic.
y = (x-2)(x+sqrt(3)) = x^2 -2x + sqrt(3)x - 2sqrt(3
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It is a quadratic and its solutions are x = 2 and x = -sqrt(3)
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Cheers,
Stan H.
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