Absolute Value Equations Special Solutions
HS Math
Created on November 15, 2024
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Transcript
objective: Solve absolute value equations and identify extraneous solutions
Special solutions
no solution
Infinitely many solutions
a true statement: A false statement:
when variables "cancel out" during the solving process, the equation has a special solution.
recall
a. infinitely many solutions b. no solution c. at least one solution
|4x-8| = -8
zoom poll
a. infinitely many solutions b. no solution c. at least one solution
|4x-8|-10 = -8
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|2x+12|=4x
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!
extraneous solution
a. |x|-4=3 b. |x|+5=3 c. |x+5|=4
which of these equations has no solution?
zoom poll
objective: Solve absolute value equations and identify extraneous solutions
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