Try a smart search to find answers to similar questions. 1 decade ago. It's a denominator of 0 that makes a rational expression undefined, because a denominator of 0 indicates division by 0. Question 208686: find all numbers for which the rational expression is undefined p^3-5p _____ p^2-49 Found 2 solutions by algebrapro18, stanbon: Solve}\hfill \\ \text{for the variable. Solve}\hfill \\ \text{for the variable. math. Answer Save. This modified article is licensed under a CC BY-NC-SA 4.0 license. Register or login to receive notifications when there's a reply to your comment or update on this information. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. 9 years ago. a. 11 _ ___ 13v - Answered by a verified Math Tutor or Teacher We use cookies to give you the best possible experience on our website. Find all numbers for which the rational expression is undefined m^3-53/3^2-36 - Answered by a verified Math Tutor or Teacher We use cookies to give you the best possible experience on our website. }\hfill \end{array}\hfill & & & \hfill \phantom{\rule{4em}{0ex}}\begin{array}{ccc}\hfill {x}^{2}+5x+6& =\hfill & 0\hfill \\ \hfill \left(x+2\right)\left(x+3\right)& =\hfill & 0\hfill \\ \hfill x+2=0\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}x+3& =\hfill & 0\hfill \\ \hfill x=-2\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}x& =\hfill & -3\hfill \end{array}\hfill \\ & & & \hfill \phantom{\rule{4em}{0ex}}\frac{x+4}{{x}^{2}+5x+6}\phantom{\rule{0.2em}{0ex}}\text{is undefined for}\phantom{\rule{0.2em}{0ex}}x=-2\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}x=-3.\hfill \end{array}\). 2 Answers. Thus, our task is to determine the roots of x² - 5x - 24: This expression factors as follows: (x - 8)(x + 3) = 0. This is because division by 0 is undefined. © 2005 - 2021 Wyzant, Inc. - All Rights Reserved, a Question Rational expressions are undefined when their denominators equal 0, so set n^2-81 = 0 and solve: n^2-81 = 0. A circle is defined by the parametric equations x = 2cos(2t) and y = 2sin(2t) for t is all real numbers. Solve}\hfill \\ \text{for the variable. If the rational expression is defined for all real numbers, so state x/x-5 Type… If v = … Find all numbers for which the rational number is undefined. Write an equation for a rational function with: Vertical asymptotes at x=-1 and x=4 x intercepts at x=-6 and x=6 Horizontal asymptote at y=2 y= A rational number is undefined when the denominator is 0. (w - 3) (w + 2) = 0. set each factor to 0 to find w for which (w² - w - 6) = 0. If the denominator is zero, the rational expression is undefined. Most questions answered within 4 hours. 2 Answers. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. Find all numbers for which the rational expression is undefined? m^3-9m/m^2-36. Mathematics » Rational Expressions and Equations » Simplify Rational Expressions. Therefore, in this rational expression, if we substituted 6 for v, we would end up with 0 in the denominator. So before we begin any operation with a rational expression, we examine it first to find the values that would make the denominator zero. Philip P. Find all numbers for which the rational expression is not defined. ===== Cheers, Stan H. Answer (1 of 2): Find all numbers for which the rational expression is undefined. (s^(3)-7s)/(s^(2)-16) All names, acronyms, logos and trademarks displayed on this website are those of their respective owners. 9 years ago. Don't want to keep filling in name and email whenever you want to comment? Again, the denominator equals zero when x = 6 or -4,, so the expression is not defined at these values of x. Saying that the rational expression \(\frac{x+4}{{x}^{2}+5x+6}\) is undefined for \(x=-2\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}x=-3\) is similar to writing the phrase “void where prohibited” in contest rules. Anthony. Lv 7. Solve the equation in the set of reals, if possible. Help! A rational expression is undefined when the denominator is equal to zero. The rational expression is undefined … We're sorry, but in order to log in and use all the features of this website, you will need to enable JavaScript in your browser. Hence the expression is not defined at these values. Mathematical Journeys: An Exercise in Averages. Find all numbers for which the rational expressions is undefined -12/13x - Answered by a verified Math Tutor or Teacher We use cookies to give you the best possible experience on our website. … Start here or give us a call: (312) 646-6365. Find all numbers for which the rational expression is undefined. This occurs when m^2 = 36. ie when m = 6 or - 6 .. Answer. The expression simplifies to 1/(x-8), but it is still undefined at both x = 8 and x = -8. Strategy To find the real numbers for which each expression is undefined, we will find the values of the variable that make the denominator 0. Lv 7. answered 11/12/14, Affordable, Experienced, and Patient Algebra Tutor. This is a lesson from the tutorial, Rational Expressions and Equations and you are encouraged to log in or register, so that you can track your progress. \(\overset{\underset{\mathrm{def}}{}}{=} \), \(x=-2\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}x=-3\), Determining the Values For Which a Rational Expression is Undefined, Simplifying Rational Expressions With Opposite Factors, Multiplying and Dividing Rational Expressions Summary, Adding Rational Expressions With a Common Denominator, Subtracting Rational Expressions With a Common Denominator, Adding and Subtracting Rational Expressions Whose Denominators Are Opposites, Add and Subtract Rational Expressions Summary I, Finding the Least Common Denominator of Rational Expressions, Adding Rational Expressions With Different Denominators, Subtracting Rational Expressions With Different Denominators, Add and Subtract Rational Expressions Summary II, Simplifying a Complex Rational Expression By Writing It As Division, Simplifying a Complex Rational Expression by Using the LCD, Summarizing Simplify Complex Rational Expressions, Solving a Rational Equation For a Specific Variable, Solving Proportion and Similar Figure Applications Summary, http://cnx.org/contents/0889907c-f0ef-496a-bcb8-2a5bb121717f@3.11. Lv 7. Find all numbers for which the rational expression is undefined? the given expression is undefined when the denominator is equal to 0, thus. Oops I did it again!!
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