Solve 5/x² = 1/x² + x - 3/x and determine if the solution is extraneous or not.
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Answer:
x=2.195823312
Step-by-step explanation:
5 / (x²) = 1 / (x²) + x - 3 / x
5 / (x ^ 2) = 1 / (x ^ 2) + x - 3 / x
Find Least Common Multiplier of x², x / (x²)
Multiply by LCM = X²
5/(x²) * x² = 1/(x²) * x² + x * x² - 3/x * x²
5 = 1 + x³ - 3x
5 = 1 + x³ - 3x : x approx 2.19582....
sol- x=2.195823312
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