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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2021 · Mathematics · Quadratic Equation

If k is one of the roots of the equation x(x+1)+1=0 , then what is...

If kk is one of the roots of the equation x(x+1)+1=0x(x+1)+1=0, then what is its other root?

Options

  1. A11
  2. B−k-k
  3. Ck2k^2
  4. D−k2-k^2

Correct answer

C. k2k^2

Step-by-step solution

Given equation: x(x+1)+1=0D=(−1)2−4(1)(1)=−3<0. Tworootsoftheequationaresameascuberootofunity(ωx(x+1)+1=0D=(-1)^2-4(1)(1)=-3 < 0 \text{. } Two roots of the equation are same as cube root of unity (\omega and \omega^2).Hence,otherroots). Hence, other roots=K^2..
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