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Math absolute equation help!?
I've tried a dozen time to come up with these! I got the first one ( |8x-4|=3) but I need help on the other two!
Give a unique example of each:
1. An absolute value equation with two solutions (Is my answer right?^^)
2. An absolute value equation with one solution
3. An absolute value equation with no solutions
Thank you so much for the help!!
3 Answers
- 1 decade agoFavorite Answer
1. your answer is write
2. |x| = 0 has only one solution which is 0
3. |x^2 + 1| = 0. it has no solution in real number
Hope i helped :-)
- ?Lv 45 years ago
First, you simplify until you have just an absolute value on one side. Then, you make two cases: either what's in the absolute value is positive or negative: |a| = b (with b >= 0) Either a = b or a = -b Then solve the two. Usually there will be two separate solutions, which both work. 1. |x| = 4: either x = 4 or x = -4 2. |3x+2| = 14: either (3x+2) = 14 or (3x+2) = -14 so x = 4 or x = -16/3 3. -3 |2x+6| = -12 |2x+6| = 4 either (2x+6) = 4 or (2x+6) = -4 so x = -1 or -5 4. |x-2| + 10 = 12 |x-2| = 2 either x-2 = 2 or x-2 = -2 so, x = 4 or x = 0 5. |x| - 8 = -5 |x| = 3 so x = 3 or x = -3
- D gLv 71 decade ago
lets do the last one first
you know that absolute value is always positive..
so to make NO SOLUTION just put the answer as NEGATIVE it cant be true
| 6x | = -3
has NO SOLUTIONS
2) FOR one solution that is easy too you want X to be a number that is the same when positive or negative the only number that is the same when positive and negative is 0
| 6x| = 0 has only one solution x = 0
