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How do you solve a rational equation?

Updated: 4/28/2022
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13y ago

Best Answer

1) Factor both the denominator and numerator

2) State restrictions

3) Reduce fraction if possible

4) Find LCD

5) Multiply LCD into both numerator and denominator

6) Cross out the like terms

7) Add and Subtract

8) Simplify if possible

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13y ago
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Q: How do you solve a rational equation?
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Related questions

How do you solve rational equations?

The details really depend on the equation. It often helps to multiply all parts of the equation by a common denominator, to get rid of the fractions.


How can you determine whether a polynomial equation has imaginary solutions?

To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.


What is rational equation?

A rational equation is when its solution can be expressed as a fraction


How do you Factor fractions?

You do not "solve" rational numbers. Rational numbers are not a puzzle nor a question nor an equation, so there is nothing to solve. The question is like asking how do you solve a person's name.


When you divide a rational equation by another rational equation you end up multiplying by its?

Reciprocal. Except that dividing by a rational equation is much easier.


What are the steps in solving rational equations?

1. First we need to determine the least common denominator of the fractions in the given rational equation. 2. We need to take out the fractions by multiplying All terms by the least common denominator. 3. Then we have to simplify the terms in rational equation. 4. Solve the resulting equation. 5. Check the answers to make confident the solution does not make the fraction undefined.


Is a rational exponent equation?

No, it is an expression, not an equation.


Can you solve for a variable in an equation?

Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the equation.


Do you answer an equation?

you don't answer an equation, you solve an equation


The equation of a rational function does not have to contain a rational expression?

false


If the equation of a function is a rational expression the function is rational?

True


If the equation of a rational function is a rational expression is the function rational?

Yes. Rational functions must contain rational expressions in order to be rational.