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Equations Solve the rational equation. If the equ (4)/(x+2)+(5)/(x+3)=(14x+7)/ˣ²+5x+6)

User JustinB
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1 Answer

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Final answer:

To solve the given rational equation, eliminate terms, clear the denominators, simplify, solve the resulting quadratic equation, and check the solutions.

Step-by-step explanation:

To solve the rational equation (4)/(x+2)+(5)/(x+3)=(14x+7)/(x^2+5x+6), we'll follow these steps:

  1. Eliminate terms wherever possible to simplify the algebra.
  2. Multiply both sides of the equation by (x+2)(x+3) to clear the denominators.
  3. Simplify the equation.
  4. After simplifying, we'll have a quadratic equation.
  5. Set the quadratic equation equal to zero and solve for x by factoring or using the quadratic formula.
  6. Check the solution(s) to see if they satisfy the original equation.
User Iniravpatel
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