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AP EAMCET2002MathematicsQuadratic Equation

If 3 is a root of x^2+k x-24=0 . It is also a root of

Options

  1. Ax^2+5 x+k=0
  2. Bx^2+k x+24=0
  3. Cx^2-k x+6=0
  4. Dx^2-5 x+k=0

Correct answer

C. x^2-k x+6=0

Step-by-step solution

We have, 3 is the roots of x^2+k x-24=0 Then, 9+3 k-24=0 3 k=15 k=5 Also, x^2-k x+6=0 9-3 x+6=0 k=5 Thus 3 is also the root of x^2-k x+6=0

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