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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 α, β, γ and are the roots of the equation x^4 - bx - 3 = 0 ;...

If α,β,γ\alpha, \beta, \gamma and δ\delta are the roots of the equation x4−bx−3=0x^4 - bx - 3 = 0; then an equation whose roots are α+β+γδ2,α+β+δγ2,α+γ+δβ2\frac{\alpha+\beta+\gamma}{\delta^2}, \frac{\alpha+\beta+\delta}{\gamma^2}, \frac{\alpha+\gamma+\delta}{\beta^2} and β+γ+δα2\frac{\beta+\gamma+\delta}{\alpha^2} is :

Options

  1. A3x4+bx+1=03x^4 + bx + 1 = 0
  2. B3x4−bx+1=03x^4 - bx + 1 = 0
  3. C3x4+bx3−1=03x^4 + bx^3 - 1 = 0
  4. D3x4−bx3−1=03x^4 - bx^3 - 1 = 0.

Correct answer

D. 3x4−bx3−1=03x^4 - bx^3 - 1 = 0.

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