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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 but α^2 = 5α - 3 and β^2 = 5β - 3 , then the equation with...

If α≠β\alpha \ne \beta but α2=5α−3\alpha^2 = 5\alpha - 3 and β2=5β−3\beta^2 = 5\beta - 3, then the equation with roots α/β,β/α\alpha/\beta, \beta/\alpha is:

Options

  1. A3x2−25x+3=03x^2 - 25x + 3 = 0
  2. Bx2+5x−3=0x^2 + 5x - 3 = 0
  3. Cx2−5x+3=0x^2 - 5x + 3 = 0
  4. D3x2−19x+3=03x^2 - 19x + 3 = 0.

Correct answer

D. 3x2−19x+3=03x^2 - 19x + 3 = 0.

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