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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.

Sagot :

Answer:

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

[tex]\frac{x^2+8}{x^2-x-12}[/tex]

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,

[tex]x^2-x-12=0[/tex][tex]x^2-4x+3x-12=0[/tex][tex]x\left(x-4\right)+3\left(x-4\right)=0[/tex]

Taking x-4 as common we get,

[tex]\left(x-4\right)\left(x+3\right)=0[/tex]

we get, x=4,x=-3

The restricted values of x are 4,-3.

we get,

[tex]x\ne4,-3[/tex]

Answer is:

[tex]x\ne4,-3[/tex]

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