3.4 Complex Numbers. To make it possible to solve all quadratic equations, mathematicians invented an expanded number system called the complex number.

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Presentation transcript:

3.4 Complex Numbers

To make it possible to solve all quadratic equations, mathematicians invented an expanded number system called the complex number system. They defined the new number:

Complex number A number in the form a + bi, where a is the real number part and bi is the imaginary number part. Pure imaginary number: 6i

ex (6 – 5i) + (2 + 3i) (6 – 5i) - (2 + 3i) (6 – 5i)(2 + 3i) i 18 Always … Obviousl y Definition Gotta remembe r

ex

Solve each equation: x = 0

Show that the solutions of the equation 2x 2 + 5x + 10 = 0 are complex conjugates of each other.

pg 289 #13-21 odd, odd