Can someone help me with this one?
Find the real and complex solution of the equation x[squared]-8=0.
Possible answers:
1. -2, 2, 2cis(pi/3)
2. 2, 2cis(2pi/3), 2cis(4pi/3)
3. -2, 2cis(pi/3), 2cis(2pi/3)
4. 2cis(pi/3), 2cis(2pi/3), 2cis(4pi/3)
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Can someone help me with this one?
Find the real and complex solution of the equation x[squared]-8=0.
Possible answers:
1. -2, 2, 2cis(pi/3)
2. 2, 2cis(2pi/3), 2cis(4pi/3)
3. -2, 2cis(pi/3), 2cis(2pi/3)
4. 2cis(pi/3), 2cis(2pi/3), 2cis(4pi/3)
Are you sure that you have typed the question correctly. the only solutions
of $\displaystyle x^2-8=0$, are $\displaystyle x=\pm \sqrt{8}$.
From the list of solutions I would guess you are asked for the solutions of:
$\displaystyle x^3-8=0$,
in which case the answer will be 2, which you can check by cubing each of
the solutions in the lis to check that they come to 8.
RonL
Now I'm really confused. Do you really think my worksheet is wrong?