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AP EAMCET2016MathematicsQuadratic Equation

If the coefficients of the equation whose roots are k times the roots of the equation, x^3+ 1 4 x^2- 1 16 x+ 1 144 =0 are integers, then a possible value of k is

Options

  1. A3
  2. B12
  3. C9
  4. D4

Correct answer

B. 12

Step-by-step solution

Given equation, The equation whose roots are k times the roots of the eq. (i), is aligned & ( x k )^3+ 1 4 ( x k )^3- 1 16 ( x k )+ 1 144 =0 & x^3+ k 4 x^2- k^2 16 x+ k^3 144 =0 aligned Also given that, coefficients of the above equation are integer. k=12

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