7 Rational Expressions Solving Equations Mar 17
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Rational expressions are equations that contain variables in denominators. There are four key steps to solving rational equations: 1) factor the equation if needed, 2) find the lowest common denominator (LCD), 3) find non-permissible values, and 4) multiply both sides by the LCD to obtain an equivalent equation that can be solved. It is important to check any solutions obtained to ensure they are not extraneous roots. Several examples demonstrate applying these steps to solve different types of rational equations.
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7 Rational Expressions Solving Equations Mar 17
- 1. 1
- 3. Definitions Equation a statement of equality between two expressions. eg.a) 2x + 3 = 5 b) 2x + 3 = 3x + 5 Open Sentence an equation that may or not be true Solution or root the value of the variable that makes the equation true. The root or solution is said to satisfy the equation. 3
- 4. Fractional or Rational Equation an equation with a variable in a denominator. Eg. 2 + 1 __ __ = 10 x 2x 4
- 6. Example 1 x __ + 3x 3 = 2 + __ 2 4 Check 6
- 7. Example 2 __ 4 + 6 = 2 x Check 7
- 8. Example 3 x _____ 5 ___ = x + 2 7 Check 8
- 9. Example 4 4 3 ___ ___ 11 x + = ___ 2x 4 Check 9
- 10. Assignment p. 179 Questions 1 16 odd p. 185 Questions 1 29 odd 10