Solve the equation for \( x \):

\[ 1.94x - \frac{10}{8x} + 4.32 = 2(1.15x + 8.5) \]

1 , 94 x − 8 10 ​ x + 4 , 32 = [ 2 ( 1 , 15 x + 8 , 5 )] 1 , 94 x − 1 , 25 x + 4 , 32 = 2 , 3 x + 17 0 , 69 x + 4 , 32 = 2 , 3 x + 17 ∣ S u b t r a c t 2 , 3 x − 1 , 61 x + 4 , 32 = 17 ∣ S u b t r a c t 4 , 32 − 1 , 61 x = 12 , 68 ∣ D i v i d e b y − 1 , 61 x ≈ 7 , 9 ​

Answered by luana | 2024-06-10

The equation 1.94 x − 8 x 10 ​ + 4.32 = 2 ( 1.15 x + 8.5 ) simplifies to a quadratic form, allowing us to use the quadratic formula to explore potential solutions. The calculated solutions indicate negative values, suggesting that they may not fit within the context of the original problem, which needs further consideration. After thorough checking of the quadratic solutions, no valid x appears to satisfy both sides of the equation fully within real-world contexts.
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Answered by luana | 2025-01-13