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Beliebt Geometry >

-4x^2+5y^2+21x-5y+28=0

Lösung

- 4 x^{2} + 5 y^{2} + 21 x - 5 y + 28 = 0

Lösung

(h, k) = (\frac{21}{8}, \frac{1}{2}), a = \frac{869}{8}, b = \frac{869}{4 5}

Schritte zur Lösung

- 4 x^{2} + 5 y^{2} + 21 x - 5 y + 28 = 0

Rewrite

- 4 x^{2} + 5 y^{2} + 21 x - 5 y + 28 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{21}{8} ) ^{2}}{( \frac{869}{8} ) ^{2}} - \frac{( y - \frac{1}{2} ) ^{2}}{( \frac{869}{4 5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{21}{8}, \frac{1}{2}), a = \frac{869}{8}, b = \frac{869}{4 5}

Graph

Beliebte Beispiele

4(x-4)^2-25(y-1)^2=100

4 (x - 4)^{2} - 25 (y - 1)^{2} = 100

x^{2} - 2 y^{2} = 16

143x^2-y^2+152x+2y+164=0

143 x^{2} - y^{2} + 152 x + 2 y + 164 = 0

15x^2-7y^2+3x-5=0

15 x^{2} - 7 y^{2} + 3 x - 5 = 0

x^{2} - y^{2} + 1 > 0