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Manipal MET2014MathematicsQuadratic Equation

If 2 , and 2 are the roots of 8 x^2-26 x+

Options

  1. A627 725
  2. B- 627 725
  3. C-1
  4. DNone of these

Correct answer

B. - 627 725

Step-by-step solution

The given equation is 8 x^2-26 x+15=0 . The sum of roots, 2 + 2 = 26 8 = 13 4 and product of roots, 2 2 = 15 8 aligned & aligned ( + 2 ) & = 2 + 2 1- 2 2 & = 13 4 1- 15 8 =- 26 7 aligned & Now, aligned ( + ) & = 1- ^2 ( + 2 ) 1+ ^2 ( + 2 ) & = 1- (- 26 7 )^2 1+ (- 26 7 )^2 = 49-676 49+676 =- 627 725 aligned aligned

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