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### Course: College Algebra>Unit 1

Lesson 6: Absolute value equations

# Solving absolute value equations

Understand why an absolute value equation can have from 0 to 2 solutions. Solve absolute value equations with different numbers of solutions. Created by Sal Khan.

## Want to join the conversation?

• Why does the final problem at have no solutions? couldn't it be x= 1/2 or x= -1/2?
• This makes absolutely no sense. How did -6/-5 become positive when it hasn't been divided into yet? What's wrong with dividing it to a decimal? And prob 2 I got -1.5 and 4.5 but he stopped at 0. Why not subtract and divide? And how does he kno the shape of variables on a graph at start w no given values yet? He doesnt explain any of it.
• Why is -6/5 not divided to get 1.2 which is easier to plot. Fractions are near impossible to plot unless u know the decimal equivalent. Isnt that an improper fraction? And prob 2 the - is a minus not a negative but he adds a 1 to make it negative? How does that make sense and why 1 isnt that redundant?
• At Couldn't you divide both sides by -4? -2/-4 = 0.5 Which is a positive value
• will an absolute value problem always have two solutions?
(1 vote)
• If the problem equals 0, you will have one solution.