Question

Find the restricted values of x for the following rational expression. If there are no restricted values of x,indicate "No Restrictions".x² +8x² - x - 12AnswerHow to enter your answer (opens in new window)Separate multiple answers with commas.KeypadKeyboard ShortcutsSelecting a radio button will replace the entered answer value(s) with the radio button value. If the radiobutton is not selected, the entered answer is used.

Answer 1

To find the restricted values of x for the given rational expression,

`(x^2+8)/(x^2-x-12)`

The above expression is defined only when x^2-x-12 not equal to 0.

x values are restricted for the solution of x^2-x-12=0

To find the values of x when x^2-x-12=0.

Consider, x^2-x-12=0

we get,

`x^2-x-12=0`
`x^2-4x+3x-12=0`
`x\left(x-4\right)+3\left(x-4\right)=0`

Taking x-4 as common we get,

`\left(x-4\right)\left(x+3\right)=0`

we get, x=4,x=-3

The restricted values of x are 4,-3.

we get,

`x\\e4,-3`

Answer is:

`x\\e4,-3`