What is 3y^2-x^2+24y-2x=0 ?

The solution to 3y^2-x^2+24y-2x=0 is Hyperbola with (h,k)=(-1,-4),a=sqrt(47/3),b=sqrt(47)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3y^2-x^2+24y-2x=0

3 y^{2} - x^{2} + 24 y - 2 x = 0

(h, k) = (- 1, - 4), a = \frac{47}{3}, b = 47

Solution steps

3 y^{2} - x^{2} + 24 y - 2 x = 0

Rewrite

3 y^{2} - x^{2} + 24 y - 2 x = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 4 ) ) ^{2}}{( \frac{47}{3} ) ^{2}} - \frac{( x - ( - 1 ) ) ^{2}}{( 47 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - 4), a = \frac{47}{3}, b = 47

x^{2} - y^{2} = 60

x^{2} - y^{2} = 67

5 x^{2} - y^{2} \geq 13

5 x^{2} - y^{2} \geq 11

\frac{( y + 3 ) ^{2}}{64} - \frac{( x - 2 ) ^{2}}{81} = 1

What is 3y^2-x^2+24y-2x=0 ?
The solution to 3y^2-x^2+24y-2x=0 is Hyperbola with (h,k)=(-1,-4),a=sqrt(47/3),b=sqrt(47)