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Beliebt Geometry >

3y^2-x^2+18y+4x+28=0

Lösung

3 y^{2} - x^{2} + 18 y + 4 x + 28 = 0

Lösung

(h, k) = (2, - 3), a = 5, b = \frac{5}{3}

Schritte zur Lösung

3 y^{2} - x^{2} + 18 y + 4 x + 28 = 0

Rewrite

3 y^{2} - x^{2} + 18 y + 4 x + 28 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, - 3), a = 5, b = \frac{5}{3}

Graph

Beliebte Beispiele

(50)/(x+y)+8/(x-y)=7

\frac{50}{x + y} + \frac{8}{x - y} = 7

4x^2-9y^2-16x+36y=56

4 x^{2} - 9 y^{2} - 16 x + 36 y = 56

solvefor x,(x^2)/4+1=3m(x)^2-1

so l v e f or x, \frac{x ^{2}}{4} + 1 = 3 m (x)^{2} - 1

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

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

(((x+1))/(16))^2-(((y-4))/(25))^2=1

(\frac{( x + 1 )}{16})^{2} - (\frac{( y - 4 )}{25})^{2} = 1