Question

Solve the rational equation: pls help

Answer 1

Answer:

A. x = 1/4

Step-by-step explanation:

Simplify the equation:

(3x^2+1)/(x-1) + x = 4 + 4/(x-1)

(3x^2+1-4)/(x-1) = 4-x

(3x^2-3)/(x-1) = 4-x

Since (3x^2-3) = 3(x^2-1) and x^2-1 = (x+1)(x-1), substitute 3x^2-3 for 3(x+1)(x-1)

3(x+1)(x-1)/(x-1) = 4-x

Cancel (x-1) from the numerator and denominator:

3(x+1) = 4-x

Isolate x:

3(x+1) = 4-x

3x+3 = 4-x

4x = 1

x = 1/4.

x = 1/4 is the only valid solution unless both sides being undefined would count as a valid equation, then x = 1 would also be valid.