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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

Let α, β be the roots of the quadratic equation ax^2 + bx + c = 0 ,...

Let α,β\alpha, \beta be the roots of the quadratic equation ax2+bx+c=0ax^2 + bx + c = 0, then the roots of the equation a(x+1)2+b(x+1)(x−2)+c(x−2)2=0a(x+1)^2 + b(x+1)(x-2) + c(x-2)^2 = 0 are :

Options

  1. A2α+1α−1,2β+1β−1\frac{2\alpha+1}{\alpha-1}, \frac{2\beta+1}{\beta-1}
  2. B2α−1α+1,2β−1β+1\frac{2\alpha-1}{\alpha+1}, \frac{2\beta-1}{\beta+1}
  3. Cα+1α−2,β+1β−2\frac{\alpha+1}{\alpha-2}, \frac{\beta+1}{\beta-2}
  4. D2α+3α−1,2β+3β−1\frac{2\alpha+3}{\alpha-1}, \frac{2\beta+3}{\beta-1}.

Correct answer

A. 2α+1α−1,2β+1β−1\frac{2\alpha+1}{\alpha-1}, \frac{2\beta+1}{\beta-1}

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