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)
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