Asked by student
solve x^4-8x^3+64x-105=0 given that 2-i is one solution.
must be tired cause my steps are not calculating correctly
must be tired cause my steps are not calculating correctly
Answers
Answered by
Steve
what you should do is show how far you got, if you want help.
another root is necessarily 2+i, so
(x^2-4x+5) divides x^4-8x^3+64x-105
In fact,
x^4-8x^3+64x-105 = (x^2-4x+5)(x^2-4x-21)
Now it's a piece o' cake, no?
another root is necessarily 2+i, so
(x^2-4x+5) divides x^4-8x^3+64x-105
In fact,
x^4-8x^3+64x-105 = (x^2-4x+5)(x^2-4x-21)
Now it's a piece o' cake, no?
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