x^2+y^2+5x+y-26=0.2x^2+2y^2-4x+9y+4

Lösung

x^{2} + y^{2} + 5 x + y - 26 = 0.2 x^{2} + 2 y^{2} - 4 x + 9 y + 4

(h, k) = (- 5.625, - 4), a = 7.01003 \dots, b = 6.26996 \dots

Schritte zur Lösung

x^{2} + y^{2} + 5 x + y - 26 = 0.2 x^{2} + 2 y^{2} - 4 x + 9 y + 4

Rewrite

x^{2} + y^{2} + 5 x + y - 26 - 0.2 x^{2} - 2 y^{2} + 4 x - 9 y - 4 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 5.625 ) ) ^{2}}{7.01003 \dots ^{2}} - \frac{( y - ( - 4 ) ) ^{2}}{6.26996 \dots ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 5.625, - 4), a = 7.01003 \dots, b = 6.26996 \dots

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

16 x^{2} - 128 x - y^{2} - 12 y + 224 = 0

3 y^{2} - x^{2} + 6 x - 12 = 0

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

\frac{x ^{2}}{1 ^{2}} - \frac{z ^{2}}{2 ^{2}} = 1