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T Directed Resources Consider the equation 4x^(4)-8x^(3)+4x^(2)-128x-960=0 The real solutions are 5 and -3 What are the nonreal solutions? -2i,2i -4i,4i -8i,8i -16i,16i
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T Directed Resources Consider the equation 4x^(4)-8x^(3)+4x^(2)-128x-960=0 The real solutions are 5 and -3 What are the nonreal solutions? -2i,2i -4i,4i -8i,8i -16i,16i

User Mikywan
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Answer:

Hi,

-4i and 4i

Explanation:


x^4-8x^3+4x^2-128x-960\\=(x-5)(4x^3+12x^2+64x+192)\\=(x-5)(x+3)(4x^2+64)\\=4(x-5)(x+3)(x^2+16)\\=4(x-5)(x+3)(x-4i)(x+4i)\\

User Simon Williams
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