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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{23}{25}

\frac{49}{50}

\frac{24}{25}

\frac{47}{50}

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by Farhabi Mojib

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