Math  /  Algebra

Questionx2+5x+4x26x7\frac{x^{2}+5 x+4}{x^{2}-6 x-7}

Studdy Solution
Determine the values of x x for which the expression is undefined.
The original expression is undefined where the denominator is zero. Set the denominator equal to zero and solve for x x :
x26x7=0 x^2 - 6x - 7 = 0
The factors are (x7)(x+1)=0 (x - 7)(x + 1) = 0 .
Thus, x=7 x = 7 and x=1 x = -1 .
The simplified expression x+4x7 \frac{x + 4}{x - 7} is undefined at x=7 x = 7 and x=1 x = -1 .

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