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AP EAMCET2001MathematicsQuadratic Equation

The roots of the equation x^3-14 x^2+56 x-64=0 are in

Options

  1. AAGP
  2. BHP
  3. CAP
  4. DGP

Correct answer

D. GP

Step-by-step solution

We have, aligned & x^3-14 x^2+56 x-64=0 at x & =2,8-14.4+56.2-64 = & 8-56+112-64=0 aligned Ther efore, the given equation can be written as array r x^2(x-2)-12 x(x-2)+32(x-2)=0 (x-2) (x^2-12 x+32 )=0 (x-2)(x-4)(x-8)=0 array The roots are 2,4,8 , which are in GP.

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