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Home » \[ x^2 + 12^2 = 13^2 \] - AMAZONAWS

\[ x^2 + 12^2 = 13^2 \] - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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Solve for \( x \) in the equation \( 2x^2 - 3x - 5 = 0 \).
Here, \( a = 2 \), \( b = -3 \), and \( c = -5 \).
Calculate the discriminant: \( b^2 - 4ac = (-3)^2 - 4(2)(-5) = 9 + 40...
So, \( x = \frac{3 \pm \sqrt{49}}{4} = \frac{3 \pm 7}{4} \).
The solutions are \( x = \frac{10}{4} = 2.5 \) and \( x = \frac{-4}{4}...
#### 2.5, -1
A geometric sequence has a first term of 3 and a common ratio of 2. Wh...
The sum \( S_n \) of the first \( n \) terms of a geometric sequence i...
Here, \( a = 3 \), \( r = 2 \), and \( n = 6 \).
So, \( S_6 = 3 \frac{2^6 - 1}{2 - 1} = 3 \times (64 - 1) = 3 \times 63...

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