en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((x-3)^2)/9-((y+2)^2)/4 =1

Solution

\frac{( x - 3 ) ^{2}}{9} - \frac{( y + 2 ) ^{2}}{4} = 1

Solution

(h, k) = (3, - 2), a = 3, b = 2

Solution steps

\frac{( x - 3 ) ^{2}}{9} - \frac{( y + 2 ) ^{2}}{4} = 1

Rewrite

\frac{( x - 3 ) ^{2}}{9} - \frac{( y + 2 ) ^{2}}{4} = 1

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{3 ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, - 2), a = 3, b = 2

Popular Examples

(((x-2)}{16})^2-\frac{(y+3)^2)/1 =1

(\frac{( x - 2 )}{16})^{2} - \frac{( y + 3 ) ^{2}}{1} = 1

(3x-3)^2-(2y-4)^2=43+9+16

(3 x - 3)^{2} - (2 y - 4)^{2} = 43 + 9 + 16

((x-1)^2)/4-((y+2)^2)/9 =1

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{9} = 1

25x^2-36y^2-200x+360y-1400=0

25 x^{2} - 36 y^{2} - 200 x + 360 y - 1400 = 0

25y^2-9x^2+18x-50y=241

25 y^{2} - 9 x^{2} + 18 x - 50 y = 241

Frequently Asked Questions (FAQ)

What is ((x-3)^2)/9-((y+2)^2)/4 =1 ?
The solution to ((x-3)^2)/9-((y+2)^2)/4 =1 is Hyperbola with (h,k)=(3,-2),a=3,b=2