What is 4x^2-16x-y^2-6y+3=0 ?

The solution to 4x^2-16x-y^2-6y+3=0 is Hyperbola with (h,k)=(2,-3),a=1,b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2-16x-y^2-6y+3=0

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

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

Solution steps

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

Rewrite

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

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

(\frac{x + 1}{25})^{2} - (\frac{y - 4}{144})^{2} = 1

\frac{x ^{2}}{64} - \frac{y ^{2}}{100} = 1

y^{2} = (x - 2)^{2} - 1

What is 4x^2-16x-y^2-6y+3=0 ?
The solution to 4x^2-16x-y^2-6y+3=0 is Hyperbola with (h,k)=(2,-3),a=1,b=2