Recent content by renvox

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    [spring system] 3 degree of freedom system and its properties

    Hello, I was given the attached 3 degree of freedom spring system with the purpose of analyzing it. I came up with the following equation of motion and then I ran Matlab to calculate the corresponding natural frequencies and mode shapes using eigenvalues and eigenvectors; I was asked to...
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    What are the two square roots of 3+4i and how can they be obtained?

    thanks guys, you are awesome. a^2-(4/a^2)=3 a^4 - 3^2 -4 = 0 by plugging: a=-2 or 2 so b= 1 or -1 thanks!
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    What are the two square roots of 3+4i and how can they be obtained?

    lol, I'm making new laws of complex numbers :x so: b=2/a a^2-2/a=3 a^3-3a-2=0 do I have to use cubic equation or is there another way to do it?
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    What are the two square roots of 3+4i and how can they be obtained?

    Sorry, it's my second day with complex numbers. 2abi=4i a=sqrt(3+b^2) therefore: 2bi*sqrt(3+b^2)=4i -4bi*(3+b^2)=-16 -12b^2-4b^4=-16 dividing by -4 b^4+3b^2=4 common factor b^2 b^2(b^2+3)=4 right?
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    What are the two square roots of 3+4i and how can they be obtained?

    Ok, so it will be: 2abi=4i and a^2-b^2=3 And now what do I do? :s
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    What are the two square roots of 3+4i and how can they be obtained?

    Homework Statement Hi, I have to solve this exercise: "Given that (a+bi)^2 = 3+4i obrain a pair of simultaneous equations involving a and b. Hende find the two square roots of 3+4i. Hence find the two suqre roots of 3+4i." I don't really know to do do it. 2. The attempt at a solution...
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    Binomial theorem - not an easy question

    What do you mean by taking the factor of (x-3) into the sum? May you give me an example in order to understand what you mean?
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    Binomial theorem - not an easy question

    ok, it is: (1+x)^34 = \sum_{k=1}^34 \begin{pmatrix} 34 \\ k \end{pmatrix} x^k. To be honest with you, i don't know if what I've done now is correct. Besides, i don't know why i can't put blablabla to the power of 34 because it shows me to the power of 3 and 4 is...
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    Binomial theorem - not an easy question

    Ok, so I factored (3+2x-x2) and it gave me -(x-3)(x+1). But then i don't undersand what you meant by expanding (1+x)n into series form and the rest of what you have written. Could you help me please? Filip
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    Binomial theorem - not an easy question

    Hi guys, I'm Filip and as a 11th grade student I have a question about one mathematical problem. It says: If the coefficient of xk in the expansion of (3+2x-x2 )*(1+x)34 is zero. Find the value of k. I know it's something related with binomial theorem, but I don't really know how to start. Thank...
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