Brightstorm Q & A : How many complex roots does X^4+1=2 have?

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answer #1

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lqez now

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I'll give you a hint - factor out x^4 - 1 = 0 using difference of squares.

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Delta February 22, 2010

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x^4+1=2x^4-1=0(x^2+1)(x^2-1)(x^2+1)(x+1)(x-1)(x^2+1)= 1/2(-b+/-sqr(b^2-4ac)) 1/2(sqr(-4(1)(1))) 1/2(sqr(-4)) 1/2(2i) x +/- i

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ConCho February 23, 2010

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