Mathematics

Find the value(s) of x for which the expression is undefined: (frac{6x – 1}{x^2 +…

Find the value(s) of x for which the expression is undefined: (frac{6x – 1}{x^2 + 4x – 5})

  • A.
    +4 or+1
  • B.
    -5 or +1
  • C.
    -5 or -1
  • D.
    +5 or -1
  • E.
    (frac{1}{6})
Correct Answer: Option B
Explanation

(frac{6x – 1}{x^2 + 4x – 5})

The expression is undefined when (x^2 + 4x – 5 = 0)

(x^2 + 5x – x – 5 = 0)

(x(x + 5) – 1(x + 5) = 0)

((x – 1)(x + 5) = 0)

The expression is undefined when x = 1 or -5.