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9.6 Homework: quadratic equations and complex numbers

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This module provides practice problems related to solving quadratics containing imaginary numbers.

I’m sure you remember the quadratic formula: x = − b ± b 2 − 4 ac 2a size 12{ { { - b +- sqrt {b rSup { size 8{2} } - 4 ital "ac"} } over {2a} } } {} . Back when we were doing quadratic equations, if we wound up with a negative number under that square root, we just gave up. But now we can solve these equations!

Use the quadratic formula to solve: 2 x 2 + 6 x + 5 = 0 .

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Use the quadratic formula to solve: x 2 - 2 x + 5 = 0 .

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Check one of your answers to #2.

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Solve by completing the square : 2 x 2 + 10 x + 17 = 0 .

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  • A

    In general, what has to be true for a quadratic equation to have two non-real roots ?

  • B

    What is the relationship between the two non-real roots?

  • C

    Is it possible to have a quadratic equation with one non-real root?
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Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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