Home » Find the values of x for which ( frac{1}{2x^2 – 13x +15} ) is not…

Find the values of x for which ( frac{1}{2x^2 – 13x +15} ) is not…

Find the values of x for which ( frac{1}{2x^2 – 13x +15} ) is not defined,
  • A.
    5 or ( frac{3}{2} )
  • B.
    1 or ( frac{15}{13} )
  • C.
    2 or 15
  • D.
    13 or 15
Correct Answer: Option A
Explanation

The fraction is undefined when the denominator is equal to zero
(2x^2 – 13x + 15 = 0\
2x^2 – 3x – 10x + 15\
x(2x-3)-5(2x-3) = 0\
(2x-3)(x-5)=0\
x = frac{3}{2} or x = 5)

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