list-the-values-of-the-variables-for-which-the-rational-expression-is-undefined-fracx-5x5

Question

List the values of the variables for which the rational expression is undefined.
$\frac{x-5}{x+5}$

Martha Richards · Accepted Answer

All right. So we&#x27;re given this expression here and were asked to, uh what numbers? What? What values for the variables here will cause this expression to be undefined. And so here, that&#x27;s when the denominator it is undefined when the denominator is equal to zero. And so all we do is set. The denominator equals zero and we get solving for X, we get X is equal to negative five. So for the value where X is equal to negative five this expression he up here is on defined.

Martha Richards · Answer

Okay, so we are asked to list the values of the variables that makes this rational expression here on defined. So first, what we&#x27;re gonna do is we&#x27;re gonna factor this denominator. And so we leave our five up here and the five doesn&#x27;t really matter. So if you want to admit that, that&#x27;s fine, too. We see here that each one of these hasn&#x27;t act. So first, let&#x27;s take out the X. And then I&#x27;m left with X squared minus five x minus sechs. And now we have X and then we&#x27;re going to factor this here. Right? So when I have a negative, I know first I start with the ex Is this is a positive. So I have X Times X And then whenever I have a negative, I have to have a positive and the negative and my factors of six that are going to then we win. When we take the difference, come to five is six and one, because two and three would only work if this was positive. So here we have the six and the one. The bigger number has got to be negative. So we put the six in front of the negative, the one over here. And then we set each one of these variable. Each one of these factors here equals zero. So we have that X is equal to zero. I have X plus one equals zero, and I have X minus six equal to zero. So if you could do this in your head, that&#x27;s great too. But we know that when we solve for this, we subtract one on both sides and I get X is equal to negative one. And when I saw for this, I add six to both sides. So I get X is equal to positive sex. So six negative one and zero all make this rational expression undefined because they will make the denominator zero.

Susan Cooper · Answer

we need to find the values that aren&#x27;t possible for X with this rational expression. And if you think back to the beginning of this section we talked about the big issue is my denominator cannot equal zero. So I need to find the values that would make this denominator zero. And those are the values that X cannot be. So if I just take my denominator and pull it out and said it equal to zero, I can then just solve for X. I&#x27;m going to use the principle of zero products to do that which says, if I have things multiplied together, that equals 01 of them has to be zero. So either X minus two has to be zero or X plus five has to be zero. If I saw this one for X, I get X equals two. And if I saw this one for X, I get X equals negative five. So in this case, too and negative five are the values that X are not allowed to be for this rational expression

Susan Cooper · Answer

so rational expression is considered undefined. When the denominator is equal to zero, we are not allowed to divide by zero, so numerator doesn&#x27;t matter. Any time you&#x27;re dealing with a rational expressions, you&#x27;re going to need to find the values that X cannot be because they will make the denominator zero. So we&#x27;re gonna go ahead and set that denominator equal to zero, and we&#x27;re going to go ahead and solve for X so that we know what values X is not allowed to be. Go ahead and clean that just a little bit. That&#x27;s better. So to solve this for zero because it is a try, no meal, we&#x27;re going to go ahead and factor, and then this will let us solve for X. So if I factor this, try no meal that&#x27;s going to give me Let&#x27;s see X minus five and X plus one. You can check that using foil. We&#x27;re then going to use the principle of zero products, which says that if two things are multiplied together in equal zero, that means one of them has to be equal to zero. But I solved this first equation for excited X equals five. I saw the second equation, I get X equals negative one. So these were the two X values that will make that denominator equal to zero, which means that my rational expression would be undefined at these values.

Khanh Ha · Answer

Hey, guys. So question when is this ray hell undefined? So that will happen when our denominator three x was five equals year old. Right? So let&#x27;s software this software act, so bring 40 others. I will have negative five divide both sides by three. Will have negative fide fight it by three. So the answer here should be X has to be different from negative 5/3 for this ratio to be defined. Right? Well, thank you so much for listening.

Amy Jiang · Answer

so we want to find when our equation it&#x27;s undefined, and that&#x27;s when our denominator is equal to go. But since five is a constant, this is not possible. So we have that are expression is the fines for all room numbers.

Problem

List the values of the variables for which the ra…

Problem 6 Easy Difficulty

List the values of the variables for which the rational expression is undefined.
$\frac{x-5}{x+5}$

Answer

The expression is undefined when $x=5$

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Anna Marie V.

Alayna H.

Kayleah T.

Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

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The expression is undefined when $x=5$

Algebra 2 and Trigonometry

Anna Marie V.

Alayna H.

Kayleah T.

Maria G.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Anna Marie V.

Alayna H.

Kayleah T.

Maria G.

Ann Xavier Gantert

Algebra 2 and Trigonometry