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Home » \barx = \fracx_1 + x_22 - RTA

\barx = \fracx_1 + x_22 - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 But for consistency with format, box the exact decimal from calculation.

📌 But the prior examples use integers.

📌 But problem doesnt specify. In advanced math, decimal is acceptable.

📌 But to match format, and since all prior answers are exact, perhaps keep as fraction? But examples use decimals only when needed.

📌 Wait — in the first example, money is integer, but here its not.

📌 But the instruction says output only the questions and solutions, so we proceed.

📌 Final decision: compute numerically and round appropriately. But the problem doesnt specify, so use exact value from equation.

📌 But in the solution steps, they use intermediate calculations.

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\( 150 = 50 + 45d \)
\( 100 = 45d \)
\( d = \frac{100}{45} = \frac{20}{9} \)
#### \(\frac{20}{9}\)
If \( \log_2(x) + \log_2(x-1) = 3 \), find the value of \( x \).
Using log properties: \( \log_2(x(x-1)) = 3 \)
\( x(x-1) = 2^3 = 8 \)
\( x^2 - x - 8 = 0 \)
Solving using the quadratic formula: \( x = \frac{-b \pm \sqrt{b^2 - 4...
\( x = \frac{1 \pm \sqrt{1 + 32}}{2} = \frac{1 \pm \sqrt{33}}{2} \)

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