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The trigonometric way

Geometry Level 3

Given that \( 5(\sqrt{1-x}+\sqrt{1+x}) = 6x+8\sqrt{1-x^2}\), find the value of \(x\).

\[\frac{47}{50}\] \[\frac{49}{50}\] \[\frac{24}{25}\] \[\frac{23}{25}\]

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by Farhabi Mojib

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