RATIONAL EXPRESSIONS Restriction on a variable in a denominator: Quadratic
Find all excluded values for the expression.
That is, find all values of $x$ for which the expression is undefined.
$\frac{x^{2} - 6 x + 8}{x^{2} - 1}$
If there is more than one value, separate them with commas.
$x =$

Answer

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Answer

The excluded values for the expression are $x = - 1$ and $x = 1$ . So, $x = - 1, 1$ .

Steps

Step 1 ：The expression is undefined when the denominator equals zero. So, we need to find the values of $x$ that make $x^{2} - 1 = 0$ . This is a quadratic equation, and we can solve it by factoring or using the quadratic formula.

Step 2 ：The solutions to the equation $x^{2} - 1 = 0$ are $x = - 1$ and $x = 1$ . These are the values of $x$ that make the denominator zero and thus make the expression undefined.

Step 3 ：The excluded values for the expression are $x = - 1$ and $x = 1$ . So, $x = - 1, 1$ .

RATIONAL EXPRESSIONS Restriction on a variable in a denominator: QuadraticFind all excluded values for the expression.That is, find all values of x for which the expression is undefined.x2−6x+8x2−1If there is more than one value, separate them with commas.x=

Answer

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RATIONAL EXPRESSIONS Restriction on a variable in a denominator: Quadratic
Find all excluded values for the expression.
That is, find all values of $x$ for which the expression is undefined.
$\frac{x^{2} - 6 x + 8}{x^{2} - 1}$
If there is more than one value, separate them with commas.
$x =$