Do Absolute Value Equations Have Extraneous Solutions This video explains what an extraneous solution is and how we can get them when we have absolute value terms in equations Check out the other videos dealing
Both radical and rational equations can have extraneous solutions algebraic solutions that emerge as we solve the equations that do not satisfy the original equations In other words extraneous solutions seem like they re solutions but they aren t Extraneous solutions are values that we get when solving equations that aren t really solutions to the equation In this video we explain how and why we get extraneous solutions by understanding the logic behind the process of solving equations
Do Absolute Value Equations Have Extraneous Solutions
Do Absolute Value Equations Have Extraneous Solutions
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Sep 21 2023 0183 32 Absolute value equations can have up to two solutions To solve an absolute value inequality involving less than such as X p replace it with the compound inequality p X p and then solve as usual
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Do Absolute Value Equations Have Extraneous Solutions
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SOLVING ABSOLUTE VALUE EQUATIONS WITH EXTRANEOUS SOLUTIONS Extraneous solutions are values that we get when solving equations that aren t really solutions to the equation To find extraneous solution for absolute value function we follow the steps given below i Decompose the absolute function in the form of
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Mar 28 2016 0183 32 I have come across the concept of extraneous solutions particularly when solving absolute value equations radical equations and logarithmic equations My question is why do these solutions exist My teacher never explained this which is understandable given that I am in a High School math class and there isn t much time for
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Extraneous solutions can occur when dealing with absolute values or quadratics In certain situations even though you may get two solutions when the solutions are plugged back in to the original equation one of them may not work
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Learn how to solve absolute value equations with extraneous solutions Absolute value of a number is the positive value of the number For instance the absolute value of 2 is 2
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Jan 27 2022 0183 32 Extraneous Solutions of Absolute Value Equations This video explains how to check for extraneous solutions of absolute value equations Access Full Length Premium Videos
l2x 5l 3 or l2x 5l 1 gt but an absolute value can never be negative Q What s an extraneous solution and when do we need to check for them A Extraneous solutions are invalid and do not solve the original equation On the GRE you must check your answers on algebra problems involving squaring or taking roots Extraneous roots are Aug 2 2015 0183 32 Your absolute value equation looks like this x 6 2x Right from the start you can say that any negative value of x will be an extraneous solution because the absolute value of a number can only be positive So you need to check two cases for your equation If x 6 gt 0 you have x 6 x 6 The equation becomes x 6 2x gt x
Learn how to solve absolute value equations with extraneous solutions Absolute value of a number is the positive value of the number For instance the absolute value of 2 is 2 and the absolute