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3 years ago

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

Mathematics

1 answer:

natita [175]3 years ago

4 0

Answer:

The answer to your question is letter D

Step-by-step explanation:

Rational equation

$\frac{3x^{2} + 1}{x - 1} + x = 4 + \frac{4}{x - 1}$

Simplify

$\frac{3x^{2} + 1 + x(x - 1)}{x - 1} = \frac{4(x - 1) + 4}{x - 1}$

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

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