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Tcecarenko [31]
3 years ago
12

Solve the rational equation 4/x=3x+2/x^2, and check for extraneous solutions.

Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

x = 2 is a solution

x = 0 is an extraneous solution

(Option 2)

Step-by-step explanation:

4/x = (3x + 2)/x²

4x² = 3x² + 2x

x² - 2x = 0

x(x - 2) = 0

x = 0, x = 2

Verification:

4/x = (3x + 2)/x²

At x = 2

4/2 = [3(2) + 2]/2²

2 = 8/4

2 = 2

At x = 0

4/0 = [3(0) + 2]/0²

Is undefined

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