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Which of the following equations have complex roots?

Which of the following equations have complex roots?-example-1
User Alex Paven
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1 Answer

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Answer:

B. 3x² +2 = 0

Explanation:

The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)

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The equation of B can be rewritten as ...

x² = -2/3

This will have complex roots.

__

The discriminants of both equations C and D are positive, so those have only real roots.

2x² -5x -1 ⇒ d = (-5)² -4(2)(-1) = 33

3x² -6x -1 ⇒ d = (-6)² -4(3)(-1) = 48

User Suzann
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