Dropshare 5 1 5 Equals

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SOLVING EQUATION CONTAINING ABSOLUTE VALUE(S)

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Note:

  • if and only if
  • if and only ifa + b = 3 or a + b = -3
  • if any only ifa + b = +(x + y)or a + b = -(x + y)
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Solve for x in the following equation.

Example 1:

=

Either

or

Solve

Solve

The answers are 7.694933, -0.194933, 3.5 and 1. These answers may ormay not be solutions to the original equation. You must verify each of theanswers.




Check the solutions:

Check the answer x=7.694933 by substituting 7.694933 in the originalequation for x. If the left side of the equation equals the right side ofthe equation after the substitution, you have found the correctanswer.

Dropshare 5 1 5 Equals

Solve for x in the following equation.

Example 1:

=

Either

or

Solve

Solve

The answers are 7.694933, -0.194933, 3.5 and 1. These answers may ormay not be solutions to the original equation. You must verify each of theanswers.




Check the solutions:

Check the answer x=7.694933 by substituting 7.694933 in the originalequation for x. If the left side of the equation equals the right side ofthe equation after the substitution, you have found the correctanswer.

  • Left Side:
  • Right Side:
Since the left side of the original equation is equal (not completelybecause we rounded 7.694933) to the right side of the original equation,the answer x=7.694933 is a solution to the original equation.




Check x=-0.194933 by substituting -0.194933 in the original equation forx. If the left side of the equation equals the right side of the equationafter the substitution, you have found the correct answer.

  • Left Side:
  • Right Side:
Since the left side of the original equation is equal (not completelybecause we rounded -0.194933) to the right side of the original equation,the answer x=-0.194933 is a solution to the original equation.



Check x=3.5 by substituting 3.5 in the original equation for x. If theleft side of the equation equals the right side of the equation after thesubstitution, you have found the correct answer.

  • Left Side:
  • Right Side:
Since the left side of the original equation is equal to the right side ofthe original equation, the answer x=3.5 is a solution to the originalequation.




Check x=1 by substituting 1 in the original equation for x. If the leftside of the equation equals the right side of the equation after thesubstitution, you have found the correct answer.

  • Left Side:
  • Right Side:

Since the left side of the original equation is equal to the right sideof the original equation, the answer x=1 is a solution to the originalequation.



The solutions are x=7.694933, -0.194933, 3.5, and 1.

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You can also check your answer by graphing

The graph was formed by subtracting the right sideof the original equation from the left side of the original equation. Youwill note that the four x-intercepts on the graph are located at x=7.694933, -0.194933, 3.5, and 1. This verifies the four solutions by agraphical method.




If you would like to work another problem, click on example.

If you would like to test yourself by working some problems similar tothis example, click on problem.

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Dropshare 5 1 5 Equals

Author:Nancy Marcus

Dropshare 5 1 5 Equals What Fraction

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