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For what values of m will   x2 + 8x ­ m = 0 

a) Have only one root?

b) Have real and unequal roots?




                                               1
2
 Absolute Values 
                       Solving Equations Involving Absolute Values




   The absolute value can be thought of as its distance from 0 on a number line.

   Any positive and negative number are each a positive distance from 0.

   Absolute values are only concerned with distance rather than direction




Ex. If the absolute value of m = 17, what are the possible values of m


Ex. If  x + 2 = 12 

a) What are the possible values that x + 2 might equal?


b) What are the possible values for x?




  Ex.




                                                                                   3
4
5
You must solve two equations

One when the value of                is equal to the positive value of 
the right side

The other when the value of              is equal to a negative value 
of the right side

Once you find all of the possible values for x you must then check 
your solutions in the equation

You will find through your check that some of the solutions may not 
be possible




                                                                          6
7
8

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Oct 22 Absolute Values And Equations

  • 2. 2
  • 3.  Absolute Values   Solving Equations Involving Absolute Values The absolute value can be thought of as its distance from 0 on a number line. Any positive and negative number are each a positive distance from 0. Absolute values are only concerned with distance rather than direction Ex. If the absolute value of m = 17, what are the possible values of m Ex. If  x + 2 = 12  a) What are the possible values that x + 2 might equal? b) What are the possible values for x? Ex. 3
  • 4. 4
  • 5. 5
  • 6. You must solve two equations One when the value of        is equal to the positive value of  the right side The other when the value of      is equal to a negative value  of the right side Once you find all of the possible values for x you must then check  your solutions in the equation You will find through your check that some of the solutions may not  be possible 6
  • 7. 7
  • 8. 8