Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

For which set of values of X is the algebraic expression x^2 - 16 over x^2 -4x - 12 undefined.

For Which Set Of Values Of X Is The Algebraic Expression X2 16 Over X2 4x 12 Undefined class=

Sagot :

Choncc

Answer:

Step-by-step explanation:

In order to be undefined, the fraction must have the denominator equal to 0, therefore we need to solve the equation

[tex]x^2 -4x - 12 = 0\\[/tex]

This is a second degree equation, and we can re-write it to

[tex](x-6)(x+2) = 0[/tex]

We notice that the solution to be composed of 2 values:

x = 6

and

x = -2

Therefore the set of values of x for which the said expression is undefined is

S={-2, 6}

Alternatively, if you don't notice how to re-write it factored, you can use the 2nd degree equation solving algorithm:

[tex]\Delta = (-4)^2 - 4\cdot1\cdot(-12) = 16+48 = 64\\x_1 = \frac{-(-4)-\sqrt{64} }{2\cdot1} = -2\\x_1 = \frac{-(-4)+\sqrt{64} }{2\cdot1} = 6[/tex]

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.