What is (a+10)/b = b/a ?

The solution to (a+10)/b = b/a is Hyperbola with (h,k)=(-5,0),a=5,b=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(a+10)/b = b/a

\frac{a + 10}{b} = \frac{b}{a}

(h, k) = (- 5, 0), a = 5, b = 5

Solution steps

\frac{a + 10}{b} = \frac{b}{a}

Rewrite

\frac{a + 10}{b} - \frac{b}{a} = 0

in the form of a standard hyperbola equation

\frac{( a - ( - 5 ) ) ^{2}}{5 ^{2}} - \frac{( b - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 5, 0), a = 5, b = 5

(x - 2)^{2} - (y + 5)^{2} = 18

\frac{4 y ^{2}}{9} - \frac{4 x ^{2}}{27} = 1

2 x^{2} - 3 y^{2} + 8 x + 6 y - 115 = 0

x^{2} - 4 y^{2} = 5

a^{2} - 4 b^{2} = 15

What is (a+10)/b = b/a ?
The solution to (a+10)/b = b/a is Hyperbola with (h,k)=(-5,0),a=5,b=5