Solve the rational equation:
pls help
1 answer:
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.
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