de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

x^2+42x+441=72y+y^2

Lösung

x^{2} + 42 x + 441 = 72 y + y^{2}

Lösung

(h, k) = (- 21, - 36), a = 36, b = 36

Schritte zur Lösung

x^{2} + 42 x + 441 = 72 y + y^{2}

Rewrite

x^{2} + 42 x + 441 = 72 y + y^{2}

in the form of a standard hyperbola equation

\frac{( y - ( - 36 ) ) ^{2}}{3 6 ^{2}} - \frac{( x - ( - 21 ) ) ^{2}}{3 6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 21, - 36), a = 36, b = 36

Graph

Beliebte Beispiele

((x-5)^2)/9-((y-4)^2)/(25)=1

\frac{( x - 5 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{25} = 1

solvefor x,h(x)^2=(5)^2+(12)^2+(x)^2

so l v e f or x, h (x)^{2} = (5)^{2} + (12)^{2} + (x)^{2}

4x^2-y^2-20x-10y-25=0

4 x^{2} - y^{2} - 20 x - 10 y - 25 = 0

18x^2-32y^2-108y-128x-254=0^2

18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0^{2}

(x^2)/5-(y^2)/1 =1

\frac{x ^{2}}{5} - \frac{y ^{2}}{1} = 1