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AP EAMCET2006MathematicsQuadratic Equation

The difference between two roots of the equation x^3-13 x^2+15 x+189=0 is 2 . Then the roots of the equation are :

Options

  1. A-3,5,7
  2. B-3,-7,-9
  3. C3,-5,7
  4. D-3,-7,9

Correct answer

A. -3,5,7

Step-by-step solution

Let roots of the equation x^3-13 x^2+15 x+189=0 are , +2 and + +2+ =13 (i) ( +2)+( +2) + =15 (ii) and ( +2) =-189 (iii) These three equations are satisfied by the option (a).

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