Using GC in Complex Numbers

GC can be very helpful in solving certain problems in Complex Numbers.

Example 1

Use the GC to find the real value of k such that  Tex2Img_1404187817 has a complex root 1-i.

Solution

Since 1-i is a root,

Tex2Img_1404188152

Using TI 84 Plus (OS 2.55) to evaluate the complex numbers, we have

2+k = 0

k=-2

Example 2

Find the 2 roots of Tex2Img_1404188506

Solution

Since the equation is quadratic, we can use the quadratic formula.

Tex2Img_1404188717

Using the GC to evaulate the above,

z = 1+2i or -7i

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