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Equations involving Absolute Valued Functions

Equations involving Absolute Valued Functions

IP 3

Solve the following equations.

  1. \(\left| 5-2x \right|=2\)
  2. \(\left| {{x}^{2}}-10 \right|=15\)
  3. \(\left| 2{{x}^{2}}+3x \right|=\frac{3}{2}x+\frac{9}{4}\)

Solution:

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Answer:(a) \(x=\frac32,\frac72\). (b) \(x=\pm5\). (c) \(x=-\frac32,-\frac34,\frac34\).

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