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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If β + ^2α, β + ^2α are the roots of x^2 + 2bx + c = 0 and γ + ^4α,...

If β+cos⁡2α,β+sin⁡2α\beta + \cos^2\alpha, \beta + \sin^2\alpha are the roots of x2+2bx+c=0x^2 + 2bx + c = 0 and γ+cos⁡4α,γ+sin⁡4α\gamma + \cos^4\alpha, \gamma + \sin^4\alpha are the roots of x2+2Bx+C=0x^2 + 2Bx + C = 0, then:

Options

  1. Ab−B=c−Cb-B=c-C
  2. Bb2−B2=c−Cb^2-B^2=c-C
  3. Cb2−B2=4(c−C)b^2-B^2=4(c-C)
  4. D4(b2−B2)=c−C4(b^2-B^2)=c-C.

Correct answer

B. b2−B2=c−Cb^2-B^2=c-C

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