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Solve the equation |5-x|=2

Solve the equation |5-x|=2-example-1
User Soc
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2 Answers

4 votes
Hi,

Work:

Equation;


|5 - x| = 2

Rewrite the absolute value equation as two separate equations, one positive and the other one negative.


5 - x = 2 \\ 5 - x = - 2

Solve both equations for x.


x = 3 \\ x = 7

Final solutions:


x1 = 3 \\ x2 = 7

Hope this helps.
r3t40
User Meisner
by
7.6k points
5 votes


|5-x|=2\iff5-x=2\ \vee\ 5-x=-2\ \ \ \ |-5\\\\-x=-3\ \vee\ -x=-7\ \ \ |\text{change the signs}\\\\\boxed{x=3\ \vee\ x=7}

User Drew Gibson
by
7.9k points

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