Answer:
The answer to your question is letter D
Step-by-step explanation:
Rational equation
[tex]\frac{3x^{2} + 1}{x - 1} + x = 4 + \frac{4}{x - 1}[/tex]
Simplify
[tex]\frac{3x^{2} + 1 + x(x - 1)}{x - 1} = \frac{4(x - 1) + 4}{x - 1}[/tex]
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
