de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

3x^2-y^2+30x+8y=-71

Lösung

3 x^{2} - y^{2} + 30 x + 8 y = - 71

Lösung

(h, k) = (- 5, 4), a = 23, b = 2

Schritte zur Lösung

3 x^{2} - y^{2} + 30 x + 8 y = - 71

Rewrite

3 x^{2} - y^{2} + 30 x + 8 y = - 71

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{( 2 3 ) ^{2}} - \frac{( x - ( - 5 ) ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 5, 4), a = 23, b = 2

Graph

Beliebte Beispiele

4x^2-4y^2+28x-8y+53=0

4 x^{2} - 4 y^{2} + 28 x - 8 y + 53 = 0

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

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

9x^2-4y^2-72x+16y+92=0

9 x^{2} - 4 y^{2} - 72 x + 16 y + 92 = 0

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

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

3 x^{2} - 3 y^{2} - 6 x = 0