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Really Exponential

Algebra Level 2

Let $\alpha$ and $\beta$ be the two roots of the exponential equation $4 \times 8^{x+1} \times 0.25^{1+5x^2}-1=0.$ What is the value of $\alpha^2+\beta^2?$

\frac{71}{100}

\frac{73}{100}

\frac{67}{100}

\frac{69}{100}

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by Ajay Dutta

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