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1. (x-1)(x+1/2-root3/2i)(x+1/2+root3/2i)=?

Kurma Anudeep , 13 Years ago

Grade 10

1 Answers

Jitender Singh

Ans:

Hello Student,
Please find answer to your question below

$(x-1)(x+\frac{1}{2}-\frac{\sqrt{3}}{2i})(x+\frac{1}{2}+\frac{\sqrt{3}}{2i}) = 0$
$(x-1)(x^{2}+(\frac{1}{2}-\frac{\sqrt{3}}{2i}+\frac{1}{2}-\frac{\sqrt{3}}{2i})x+1) = 0$
$(x-1)(x^{2}+x+1) = 0$
$(x^{3}+x^2+x-x^2-x-1) = 0$
$x^{3} - 1$

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