What is ((x-10)^2)/(36)-((y-9)^2)/(36)=1 ?

The solution to ((x-10)^2)/(36)-((y-9)^2)/(36)=1 is Hyperbola with (h,k)=(10,9),a=6,b=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((x-10)^2)/(36)-((y-9)^2)/(36)=1

\frac{( x - 10 ) ^{2}}{36} - \frac{( y - 9 ) ^{2}}{36} = 1

(h, k) = (10, 9), a = 6, b = 6

Solution steps

\frac{( x - 10 ) ^{2}}{36} - \frac{( y - 9 ) ^{2}}{36} = 1

Rewrite

\frac{( x - 10 ) ^{2}}{36} - \frac{( y - 9 ) ^{2}}{36} = 1

in the form of a standard hyperbola equation

\frac{( x - 10 ) ^{2}}{6 ^{2}} - \frac{( y - 9 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (10, 9), a = 6, b = 6

y^{2} - 3 x^{2} - y + 16 x = 9

\frac{x ^{2}}{9} - \frac{y ^{2}}{36} = 1

- 9 x^{2} + 4 y^{2} - 36 = 0

2 y^{2} - 4 x^{2} = 1

\frac{x ^{2}}{4} - \frac{( y - 6 ) ^{2}}{140} = 1

What is ((x-10)^2)/(36)-((y-9)^2)/(36)=1 ?
The solution to ((x-10)^2)/(36)-((y-9)^2)/(36)=1 is Hyperbola with (h,k)=(10,9),a=6,b=6