Find Where Undefined/Discontinuous (k^2-22k+121)/(k^2-121)

$\frac{k^{2} - 22 k + 121}{k^{2} - 121}$

Step 1

Set the denominator in $\frac{k^{2} - 22 k + 121}{k^{2} - 121}$ equal to $0$ to find where the expression is undefined.

$k^{2} - 121 = 0$

Step 2

Solve for $k$ .

Add $121$ to both sides of the equation.

$k^{2} = 121$

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$k = \pm \sqrt{121}$

Simplify $\pm \sqrt{121}$ .

Rewrite $121$ as $11^{2}$ .

$k = \pm \sqrt{11^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$k = \pm 11$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$k = 11$

Next, use the negative value of the $\pm$ to find the second solution.

$k = - 11$

The complete solution is the result of both the positive and negative portions of the solution.

$k = 11, - 11$

Step 3

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$k = - 11, k = 11$

Step 4

Find Where Undefined/Discontinuous (k^2-22k+121)/(k^2-121)

Related Questions

Support LCMGCF.com by disabling your adblocker.