Find the values of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)
A
+5 or -1
B
-5 or +1
C
-5 or -1
D
+4 or +1
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
A fraction is undefined when its denominator is zero, i.e.
\(\frac{6x - 1}{x^2 + 4x - 5}\) is undefined when x\(^2\) + 4x - 5 = 0
x\(^2\) + 4x - 5 = 0
= x\(^2\) + 5x - x - 5 = 0
x\(^2\) + 5x - x - 5 = 0
= x(x + 5) - 1(x + 5) = 0
(x - 1)(x + 5) = 0
x = 1 0r -5
Source: Myschool Past Questions Archive (Record #75810)