Evaluating (1+2i)^3

Math, but fast!
#math #algebra #calculus #trig #數學 #cálculo #matemáticas

Пікірлер: 13

  • @georges117
    @georges1173 ай бұрын

    Somehow weird that a « looking positive » thing turns to be negative to the power of 3

  • @edwardpacman7082

    @edwardpacman7082

    2 ай бұрын

    Think about (1+2i)*i and (1+2i)*i*i. Rotation is happening each time you mulply a complex number with none-zero imaginary part.

  • @colinjava8447
    @colinjava84472 ай бұрын

    Or if you prefer... 5sqrt(5)e^(3i atan2)

  • @_jolio_
    @_jolio_3 ай бұрын

    this is pretty complex. Pun intended.

  • @Rishab_Sharma_Python_Teacher
    @Rishab_Sharma_Python_Teacher3 ай бұрын

    Sir please make a video on how to find intersection coordinates of two circles.

  • @azrael4338
    @azrael43383 ай бұрын

    Can you evaluate (1+sqrt(2)i)^3

  • @rahulkumar-ce3zp
    @rahulkumar-ce3zp3 ай бұрын

    I think i am first viewer to watch you video

  • @lucatherine4089
    @lucatherine40893 ай бұрын

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  • @Mal1234567
    @Mal12345673 ай бұрын

    Now solve it using radians.

  • @lumina_
    @lumina_3 ай бұрын

    x = 1+2i = √5e^(i*arctan(2)) x³ = 5^(3/2) * e^(3i*arctan(2)) certainly not as clean

  • @itsphoenixingtime

    @itsphoenixingtime

    3 ай бұрын

    You can expand the exponential form out and then simplify. Cos(arctan x) and sin(arctan x) should give you some closed form expressions that can then be evaluated further

  • @lumina_

    @lumina_

    3 ай бұрын

    ​@@itsphoenixingtimetrue

  • @Mal1234567
    @Mal12345673 ай бұрын

    What?