What is 9x^2-18x-4y^2-16y=43 ?

The solution to 9x^2-18x-4y^2-16y=43 is Hyperbola with (h,k)=(1,-2),a=2,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2-18x-4y^2-16y=43

9 x^{2} - 18 x - 4 y^{2} - 16 y = 43

(h, k) = (1, - 2), a = 2, b = 3

Solution steps

9 x^{2} - 18 x - 4 y^{2} - 16 y = 43

Rewrite

9 x^{2} - 18 x - 4 y^{2} - 16 y = 43

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 2, b = 3

\frac{y ^{2}}{25} - \frac{x ^{2}}{49} = 1

3 x^{2} - 2 y^{2} + 3 x - 4 y - 12 = 0

\frac{( x - 2 ) ^{2}}{9} - \frac{( y + 1 ) ^{2}}{16} = 1

x^{2} - y^{2} = 96

\frac{( x - 0 ) ^{2}}{( 2 ) ^{2}} - \frac{( y - k ) ^{2}}{( 2 ) ^{2}} = 1

What is 9x^2-18x-4y^2-16y=43 ?
The solution to 9x^2-18x-4y^2-16y=43 is Hyperbola with (h,k)=(1,-2),a=2,b=3