Algebra Problem No.3

Think and Love

@ Mr. Eric | Wednesday, Feb 17, 2021 | 1 minute read | Update at Wednesday, Feb 17, 2021

Complete each problem below by hand. Show your work and provide a reason for each step. Calculators are not allowed on this assignment.

A very important value in mathematics is called the Golden Ratio. It appears in art and nature as well as architecture. This is because many believe this ratio creates the most beautiful proportions.

  1. The Golden Ratio is expressed as $\frac{a}{b}=\frac{a+b}{a}$. The Greek letter $phi$, denoted as $\varphi$. Show all your work and explain your steps. Note, this should be your own work and internet resources should not be used.

Answer

  1. You learned about the imaginary unit $i$ in this chapter. We defined $i=\sqrt{-1}$ and used the fact that $i^2=-1$. Now explore other powers of $i$. Determine a rule for $i^n$ is any integer. Provide examples to show your rule is valid.

Answer

Mr. Eric
Life writes the best stories. Let’s study together! Never copy please!
A Friendly Introduction to Number Theory Algebra Ii Algebra Problem Algorithm Code Euclid Geometry Germination Method Number Theory Opinion Poetry Appreciation Reflection Seed Solve Speech Stop Motion
Algebra
Algebra Problem No.11
Algebra Problem No.9
Algebra Problem No.8
Algebra Problem No.7
Algebra Problem No.6
Algebra Problem No.5
Algebra Problem No.4
Algebra Problem No.3
Algebra Problem No.2
Algebra Problem No.1
Free Question No.1
Algorithm
Algorithms Code Quick Sort
Algorithms Chapter 2
Algorithms Chapter 1
Code
Algorithms Code Quick Sort
Essay
Dehumanization of slaves
‘A Long Walk To Water’ Reading Reflection (G5)
Biography about Nikola Tesla (G4)
Oh the places you'll go!
Ways To Express Yourself (G4)
Volunteer or not (G4)
Should We Reach Out (G4)
Geometry
Euclid Book II PROP. XIII. -- THEROREM.
Euclid Book II PROP. XII. -- THEROREM.
Euclid Book II PROP. XI. -- PROBLEM.
Euclid Book II PROP. X. -- THEOREM.
Euclid Book II PROP. IX. -- THEOREM.
Euclid Book II PROP. VIII. -- THEOREM.
Euclid Book II PROP. VII. -- THEOREM.
Euclid Book II PROP. VI. -- THEOREM.
Euclid Book II PROP. V. -- THEOREM.
Euclid Book II PROP. IV. -- THEOREM.
Euclid Book II PROP. III. -- THEOREM.
Euclid Book II PROP. II. -- THEOREM.
Euclid Book II PROP. I. -- THEOREM.
Euclid Book I PROP. XLVIII. -- THEOREM.
Euclid Book I PROP. XLVII. -- THEOREM.
Euclid Book I PROP. XLVI. -- PROBLEM.
Euclid Book I PROP. XLV. -- PROBLEM.
Euclid Book I PROP. XLIV. -- PROBLEM.
Euclid Book I PROP. XLIII. -- THEOREM.
Euclid Book I PROP. XLII. -- PROBLEM.
Euclid Book I PROP. XLI. -- THEOREM.
Euclid Book I PROP. XL. -- THEOREM.
Euclid Book I PROP. XXXIX. -- THEOREM.
Euclid Book I PROP. XXXVIII. -- THEOREM.
Euclid Book I PROP. XXXVII. -- THEOREM.
Euclid Book I PROP. XXXVI. -- THEOREM.
Euclid Book I PROP. XXXV. -- THEOREM.
Euclid Book I PROP. XXXIV. -- THEOREM.
Euclid Book I PROP. XXXIII. -- THEOREM.
Euclid Book I PROP. XXXII. -- THEOREM.
Euclid Book I PROP. XXXI. -- PROBLEM.
Euclid Book I PROP. XXX. -- THEOREM.
Euclid Book I PROP. XXIX. -- THEOREM.
Euclid Book I PROP. XXVIII. -- THEOREM.
Euclid Book I PROP. XXVII. -- THEOREM.
Euclid Book I PROP. XXVI. -- THEOREM.
Euclid Book I PROP. XXV. -- THEOREM.
Euclid Book I PROP. XXIV. -- THEOREM.
Euclid Book I PROP. XXIII. -- PROBLEM.
Euclid Book I PROP. XXII. -- PROBLEM.
Euclid Book I PROP. XXI. -- THEOREM.
Euclid Book I PROP. XX. -- THEOREM.
Euclid Book I PROP. XIX. -- THEOREM.
Euclid Book I PROP. XVIII. -- THEOREM.
Euclid Book I PROP. XVII. -- THEOREM.
Euclid Book I PROP. XVI. -- THEOREM.
Euclid Book I PROP. XV. -- THEOREM.
Euclid Book I PROP. XIV. -- THEOREM.
Euclid Book I PROP. XIII. -- THEOREM.
Euclid Book I PROP. XII. -- PROBLEM.
Euclid Book I PROP. XI. -- PROBLEM.
Euclid Book I PROP. X. -- PROBLEM.
Euclid Book I PROP. IX. -- PROBLEM.
Euclid Book I PROP. VIII. -- THEOREM.
Euclid Book I PROP. VII. -- THEOREM.
Euclid Book I PROP. VI. – THEOREM.
Euclid Book I PROP. V. – THEOREM.
Euclid Book I PROP. IV. – THEOREM.
Euclid Book I PROP. III. – PROBLEM.
Euclid Book I PROP. II. – PROBLEM.
Euclid Book I PROP. I. – PROBLEM.
Number Theory
What is number theory
......

© 2020 - 2023 Mr. Eric

Powered by Hugo with theme Dream.

Mr. Eric

I am a student, learn, happy.

Always happy.