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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 the roots α, β of the equation px^2 + qx + r = 0 are real and of...

If the roots α,β\alpha, \beta of the equation px2+qx+r=0px^2 + qx + r = 0 are real and of opposite sign (where p, q, r are real coefficient), then the roots of the equation α(x−β)2+β(x−α)2=0\alpha(x-\beta)^2 + \beta(x-\alpha)^2 = 0 are:

Options

  1. Apositive
  2. Bnegative
  3. Creal and of opposite sign
  4. Dimaginary.

Correct answer

C. real and of opposite sign

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