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Home » Shocked by the Truth: Do You Actually Need a Passport for Hawaii? - Londonproperty

Shocked by the Truth: Do You Actually Need a Passport for Hawaii? - Londonproperty

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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Letâs write $ a = rac{20}{r^{1.5}} $. Substitute into the sum:
rac{20}{r^{1.5}} (1 + r + r^2 + r^3) = 120
\Rightarrow rac{20(1 + r + r^2 + r^3)}{r^{1.5}} = 120
\Rightarrow rac{1 + r + r^2 + r^3}{r^{1.5}} = 6
Try $ r = 1 $:
rac{1 + 1 + 1 + 1}{1} = 4 < 6
Try $ r = 2 $:
rac{1 + 2 + 4 + 8}{2^{1.5}} = rac{15}{2\sqrt{2}} pprox rac{15}{2.82...
Try $ r = 3 $:
rac{1 + 3 + 9 + 27}{3^{1.5}} = rac{40}{3\sqrt{3}} pprox rac{40}{5.1...

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So the solutions for $ x $ are $ x = 0, 2, 3 $. Since $ x = \sqrt{u} $...
The real roots of the original equation are $ u = 0, 4, 9 $. Their sum...
Question: A renewable energy system’s efficiency is modeled by the equ...
Solution: Let $ x = \frac{a + 2b}{a - 2b} $. Then the equation becomes...
x + \frac{1}{x} = 2
Multiplying both sides by $ x $:
x^2 + 1 = 2x \Rightarrow x^2 - 2x + 1 = 0 \Rightarrow (x - 1)^2 = 0 \R...
So $ \frac{a + 2b}{a - 2b} = 1 \Rightarrow a + 2b = a - 2b \Rightarrow...
Now compute $ \frac{a^2 + 4b^2}{a^2 - 4b^2} $. Since $ b = 0 $, this b...
\frac{a^2}{a^2} = \boxed{1}

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