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AP EAMCET2014MathematicsQuadratic Equation

If p and q are distinct prime numbers and if the equation x^2-p x+q=0 has positive integers as its roots, then the roots of the equation are

Options

  1. A1,-1
  2. B2,3
  3. C1,2
  4. D3,1

Correct answer

C. 1,2

Step-by-step solution

Given, p and q are distinct prime. Let p=3 and q=2 Given equation becomes array rlrl & x^2-3 x+2 & =0 & x-2 x-x+2 & =0 & x(x-2)-1(x-2) & =0 & & (x-1)(x-2) & =0 & x & =1,2 array

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