What is 4x^2-y^2+16x+2y=21 ?

The solution to 4x^2-y^2+16x+2y=21 is Hyperbola with (h,k)=(-2,1),a=3,b=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2-y^2+16x+2y=21

4 x^{2} - y^{2} + 16 x + 2 y = 21

(h, k) = (- 2, 1), a = 3, b = 6

Solution steps

4 x^{2} - y^{2} + 16 x + 2 y = 21

Rewrite

4 x^{2} - y^{2} + 16 x + 2 y = 21

in the form of a standard hyperbola equation

\frac{( x - ( - 2 ) ) ^{2}}{3 ^{2}} - \frac{( y - 1 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = 3, b = 6

9 x^{2} - 4 y^{2} + 36 x + 40 y - 208 = 0

x^{2} - 5 y^{2} + 10 y + 4 x - 37 = 0

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

a^{2} - b^{2} = 14

a^{2} - b^{2} = 42

What is 4x^2-y^2+16x+2y=21 ?
The solution to 4x^2-y^2+16x+2y=21 is Hyperbola with (h,k)=(-2,1),a=3,b=6