Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

Question

Blaine Melendez

Mathematics

5 April, 07:24

Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

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Answers (1)

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Issac Atkins · Answer 1

2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = - 23

-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.