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Absolute Value Equations Special Solutions
HS: High School
Created on November 15, 2024
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Transcript
Special solutions
objective: Solve absolute value equations and identify extraneous solutions
recall
when variables "cancel out" during the solving process, the equation has a special solution.
a true statement: A false statement:
Infinitely many solutions
no solution
zoom poll
|4x-8| = -8
a. infinitely many solutions b. no solution c. at least one solution
zoom poll
|4x-8|-10 = -8
a. infinitely many solutions b. no solution c. at least one solution
extraneous solution
an extraneous solution is solution that seems to be correct, until checking it in the original equation...then you find that it doesn't work!
|2x+12|=4x
zoom poll
which of these equations has no solution?
a. |x|-4=3 b. |x|+5=3 c. |x+5|=4
Remember to do your CFU question in edio!
objective: Solve absolute value equations and identify extraneous solutions