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cricket20 [7]
3 years ago
12

I need this ASAP Solve: 2x-10/4= 3x

Mathematics
1 answer:
Dovator [93]3 years ago
4 0
X= -5/2 (0.4)

or

x= -2 1/2 (2.5)
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Y = |x² - 3x + 1|
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|x² - 3x + 1| = x - 1        or         |x² - 3x + 1| = -x + 1
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        - x        - x                                + x         + x
  x² - 4x + 1 = -1           or            x² - 2x + 1 = 1
              + 1 + 1                                       - 1 - 1
  x² - 4x + 1 = 0              or           x² - 2x + 0 = 0
  x = -(-4) ± √((-4)² - 4(1)(1))    or    x = -(-2) ± √((-2)² - 4(1)(0))
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  x = 4 ± √(16 - 4)            or            x = 2 ± √(4 - 0)
                 2                                                 2
  x = 4 ± √(12)              or               x = 2 ± √(4)
             2                                                  2
 x = 4 ± 2√(3)               or               x = 2 ± 2
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The solution (0, -1) can be made by one function (y = x - 1) while the solution (2 ± √(3), 1 ± √(3)) can be made by another function (y = |x² - 3x + 1|). So the solution (2, 1) can be made by both functions, making the two solutions equal.
4 0
3 years ago
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