x 36 = ? x^{36} = ?

Let a number x x be twice its reciprocal. What is x 36 x^{36} ?


The answer is 262144.

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2 solutions

Daniel Schwartz
Dec 20, 2018

1: x = 1 / x 2 x=1/x* 2

2: x ² = 2 x²=2

3: x = 2 x=√2

4: 2 ³ = 2 1 8 = 262144 √2³⁶=2^18=262144

Sorry The Answer Is 262144, If You Got That Answer, I am SO Sorry ;( D:>

Daniel Schwartz - 2 years, 5 months ago
Chew-Seong Cheong
Dec 22, 2018

x = 2 x Given x 2 = 2 Multiply both sides by x . x 36 = 2 18 Raise on both sides a power of 18. = 262144 \begin{aligned} x & = \frac 2x & \small \color{#3D99F6} \text{Given} \\ x^2 & = 2 & \small \color{#3D99F6} \text{Multiply both sides by }x. \\ x^{36} & = 2^{18} & \small \color{#3D99F6} \text{Raise on both sides a power of 18.} \\ & = \boxed{262144} \end{aligned}

I am so sorry );

Daniel Schwartz - 2 years, 5 months ago

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