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Beliebt Geometry >

(x^2)/(a^2)-(y^2)/(a-16)=1

Lösung

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a - 16} = 1

Lösung

(h, k) = (0, 0), a = a, b = a - 16

Schritte zur Lösung

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a - 16} = 1

Rewrite

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a - 16} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{a ^{2}} - \frac{( y - 0 ) ^{2}}{( a - 16 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = a, b = a - 16

Beliebte Beispiele

5y^2-6x-3x^2-10y-13=0

5 y^{2} - 6 x - 3 x^{2} - 10 y - 13 = 0

[f(x)]^2=5x^2-x+3

[f (x)]^{2} = 5 x^{2} - x + 3

2y^2+10/2 x^2-8+1=3y^2-4

2 y^{2} + \frac{10}{2} x^{2} - 8 + 1 = 3 y^{2} - 4

3 x^{2} - 4 y^{2} = 36

13x^2-14x-26=13y^2+18y-7

13 x^{2} - 14 x - 26 = 13 y^{2} + 18 y - 7