Complex Numbers Worksheet
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1
2Precalculus
Name ____________________
2.4 Notes: Complex Numbers
Some quadratic equations have no real solutions. For example x
2
= −4 has no real solution.
To overcome this deficiency, mathematicians created an expanded system of numbers using the
imaginary unit, i.
The imaginary unit,
, can be used to describe the square roots of negative numbers.
i
i = −1
=
2
i
Write the complex number in standard form.
−3 i
+ i
2.
2
1.
−9 − 5
2
4.
− −12 + 3
⎛
⎞
3.
− 7
−4
⎝
⎠
Find real numbers a and b such that the equation is true.
3 a − 5 bi = 15 − 20 i
( a + 6) + 2 bi = 6 − 5 i
5.
6.
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