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AP EAMCET2009MathematicsDeterminants

If one of the roots of | array lll 3 & 5 & x 7 & x & 7 x & 5 & 3 array |=0 is -10 , then the other roots are

Options

  1. A3, 7
  2. B4, 7
  3. C3, 9
  4. D3, 4

Correct answer

A. 3, 7

Step-by-step solution

Given, | array lll 3 & 5 & x 7 & x & 7 x & 5 & 3 array |=0 array cc & 3(3 x-35)-5(21-7 x)+x (35-x^2 )=0 & 9 x-105-105+35 x+35 x-x^3=0 & x^3-79 x+210=0 & (x+10)(x-3)(x-7)=0 & x=-10,3,7 array

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