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Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberCube Root of UnityEasy2 minPYQ_2005

MathematicsEasysingle choice

If the cube roots of unity are $1, ω, ω^{2}$ then the roots of the equation $(x - 1)^{3} + 8 = 0$ , are

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Solution:

$(x - 1)^{3} + 8 = 0 \Rightarrow (x - 1) = (- 2) (1)^{1/3}$ $\Rightarrow x - 1 = - 2$ or $- 2 ω$ or $- 2 ω^{2}$ or $n = - 1$ or $1 - 2 ω$ or $1 - 2 ω^{2}$ .

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Cube Root of Unity

⏱ 2mℹ️ Source: PYQ_2005

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