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(19) \( y=\left(x-\frac{3}{x}\right)^{2} \) (29) \( y=\left(3 x-\frac{5}{x}\right)^{2} \) (2) \( y=\frac{3 x^{4}-5 x}{x^{3}}+2 x-1 \)

Ask by Cummings Jimenez. in Malaysia
Mar 10,2025

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### (19) \( y = x^2 - 6 + \frac{9}{x^2} \) ### (29) \( y = 9x^2 - 30 + \frac{25}{x^2} \) ### (2) \( y = 5x - \frac{5}{x^2} - 1 \)

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Mind Expander

The first equation, \( y=\left(x-\frac{3}{x}\right)^{2} \), simplifies to a quadratic form when you expand it, revealing insights into its vertex and properties as a parabola. The critical points are especially interesting, as they can indicate maxima or minima within your function's behavior. The second equation, \( y=\left(3 x-\frac{5}{x}\right)^{2} \), follows a similar path; expanding it will help you find the zeros and analyze the roots effectively. It's also fascinating to explore how these transformations affect the graph of the function, giving it a unique shape based on the influence of the linear and rational components involved.

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