# prove the ratio of the line in the question

Mathematics Asked by sniperking on December 24, 2020

the book’s solution uses $$(a+b)/a= a/b$$. I got my answer using b and c but want to understand the book’s method.

$$frac{a}{b}=frac{b}{c}$$

$$frac{b}{a}=frac{c}{b}$$

$$frac{b}{a}+1=frac{c}{b}+1$$

$$frac{a+b}{a}=frac{c+b}{b}=frac{a}{b}$$

$$a^2-ba-b^2=0$$

$$a=frac{b(1+sqrt {5})}{2}$$

but

$$a=frac{b(1-sqrt {5})}{2}<0$$

Correct answer by Lion Heart on December 24, 2020

## Related Questions

### Understanding the proof of $cl(cl(A))=cl(A)$

1  Asked on December 27, 2020 by averroes2

### For $a,binmathbb{R}$, there is an integer within $|{a} – {b}|$ from $|a-b|.$

1  Asked on December 26, 2020 by mathgeek

### Proof that the coefficients of formal power series must match

2  Asked on December 26, 2020 by maths-wizzard

### To prove an apparently obvious statement: if $A_1subseteq A_2 subseteq … subseteq A_n$, then $bigcup_{i=1}^n A_i = A_n$

2  Asked on December 26, 2020

### Is it hopeless to try and solve this equation analytically?

1  Asked on December 26, 2020 by user694069

### Show that $I(y)=int_0^1 frac{x-y}{(x+y)^3}dx$ exists

1  Asked on December 26, 2020

### Find the coordinates of the point P on the line d : 2x − y − 5 = 0, for which the sum AP + PB attains its minimum, when A(−7; 1) and B(−5; 5).

2  Asked on December 26, 2020 by hestiacranel

### The Range of Taxi Fares

1  Asked on December 25, 2020 by cameron-chandler

### Schreier transversal and a basis for commutator subgroup of $F_3$

2  Asked on December 25, 2020 by makenzie

### Can someone help me with this other limit?

2  Asked on December 25, 2020 by toni-rivera-vargas

### Can you prove why the recurrence $3P_{n} – 2P_{n + 1} = P_{n – 1}$ holds for some (a subset of the) prime numbers?

1  Asked on December 25, 2020 by joebloggs

### Probabilities involving people randomly getting off floors on an elevator

0  Asked on December 25, 2020 by user747916

### Backward-Euler implicit integration for multiple variables

1  Asked on December 25, 2020 by user541686

### What are the continuous functions $mathbb{N} to mathbb{R}$ when $mathbb{N}$ is given the coprime topology?

1  Asked on December 25, 2020 by thedaybeforedawn

### Why in the ε-δ definition of a limit is x∈D instead of just ℝ

2  Asked on December 25, 2020 by tiffany

### Finding a function satisfying the given differential equation.

2  Asked on December 24, 2020 by siddharth-kalra

### Do we have false statement in inconsistent systems?

2  Asked on December 24, 2020 by j-a-s

### Interchanging integral with real and imaginary operators?

2  Asked on December 24, 2020