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Beliebt Geometry >

4(x+1)^2-3(y-2)^2=15

Lösung

4 (x + 1)^{2} - 3 (y - 2)^{2} = 15

Lösung

(h, k) = (- 1, 2), a = \frac{15}{2}, b = 5

Schritte zur Lösung

4 (x + 1)^{2} - 3 (y - 2)^{2} = 15

Rewrite

4 (x + 1)^{2} - 3 (y - 2)^{2} = 15

in the form of a standard hyperbola equation

\frac{( x - ( - 1 ) ) ^{2}}{( \frac{15}{2} ) ^{2}} - \frac{( y - 2 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, 2), a = \frac{15}{2}, b = 5

Graph

Beliebte Beispiele

4x^2-3y^2+8x+16=0

4 x^{2} - 3 y^{2} + 8 x + 16 = 0

(x+5)^2-(y+6)^2=20

(x + 5)^{2} - (y + 6)^{2} = 20

- x^{2} + 2 y^{2} = 1

(x^2)/(100)-(y^2)/(75)=1

\frac{x ^{2}}{100} - \frac{y ^{2}}{75} = 1

64x^2-36y^2+192x+36y-441=0

64 x^{2} - 36 y^{2} + 192 x + 36 y - 441 = 0