4chan archive /sci/ (index)
2013-09-01 10:48 6002814 Anonymous (1373579283470.jpg 720x480 19kB)
Whats the easiest/fastest way to solve a system of equations that involves complex numbers? Alternating current circuits are tedious as fuck. And no, I don't have that option in my calculator.

59 min later 6002863 Anonymous
Matrixes?

1 hours later 6002881 Anonymous
>>6002814 uuh.... ? http://en.wikipedia.org/wiki/System _of_linear_equations#Solving_a_line ar_system if linear... Precise your question (with example) if you're not satisfied

6 hours later 6003118 Anonymous
can someone show me how to solve this equation? z^8 + 255z^4 -256 =0 i applied z^4 =x and got x'=-256 and x''=1 what next?

6 hours later 6003129 Anonymous (1362324819968s.jpg 125x125 4kB)
>>6003118 it's in complex numbers with z=x+iy

7 hours later 6003161 Anonymous
>>6003118 help

10 hours later 6003459 Anonymous
>>6003118 Solve for z=r*e^i*t For x' you get r^4 = 256 so r1=r2=r3=r4=4 and also 4t=iPi mod Pi, or t=iPi/4 mod Pi/2 so t1=Pi/4, t2 = 3Pi/4, t3=5Pi/4, t4=7Pi/4 Thus z1=4e^iPi/4=2sqrt(2)+i2sqrt(2) and so on I let you find the 4 remaining roots.

10 hours later 6003466 Anonymous
>>6003459 *Line 3: 4t=iPi mod 2Pi

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