Which of the following statements are true about the given rational equation? Check all of the boxes that apply. 4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solution. x = 0 is an extraneous solution. x = –1 is a solution. x = –6 is an extraneous solution.

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Answer:

A and C

Step-by-step explanation: Edge 2021

The statements which are true about the given rational equation is:

  • A.  4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solution
  • C.  x = –1 is a solution.

Rational Equations

This refers to an equation which has fractions which contains polynomials and can be solved by reducing the fractions to solve the inequality.

With this in mind, we can see that options A and C are both solutions to a rational equation because of their equality of their solutions.

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