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Solve the rational equation $\frac{x}{x-2}=74.7778$

Step-by-step Solution

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Solution

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Final answer to the problem

The equation has no solutions.

Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Multiply both sides of the equation by $x-2$

$x=74.7778\left(x-2\right)$

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Learn how to solve equations problems step by step online. Solve the rational equation x/(x-2.0)=74.77778. Multiply both sides of the equation by x-2. Solve the product 74.7778\left(x-2\right). Move everything to the left hand side of the equation. Combining like terms x and -74.77778x.

Final answer to the problem

The equation has no solutions.

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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