Solve the rational equation (3x^2+1)/(x-1) + x =4 + 4/(x-1)

A:X=1
B:X=1/4
C:There is no Solution
D:X=1/4, X=1

The answer to your question is letter D

Step-by-step explanation:

Rational equation

Simplify

Cancel the denominators and expand

                            3x² + 1 + x² - x = 4x - 4 + 4

Simplify                                              

                            4x² - x + 1 - 4x = 0

                            4x² - 5x + 1 = 0

Factor

                            4x² - 4x - 1x + 1 = 0

                            4x(x - 1) - 1(x - 1) = 0

                             (4x - 1)(x - 1) = 0

                            x₁ = 1/4        x₂ = 1

Solving single linear inequalities follow pretty much the same process for solving linear equations. We will simplify both sides, get all the terms with the variable on one side and the numbers on the other side, and then multiply/divide both sides by the coefficient of the variable to get the solution.

Step-by-step explanation: