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Beliebt Geometry >

x^2-5y^2+10y+4x-37=0

Lösung

x^{2} - 5 y^{2} + 10 y + 4 x - 37 = 0

Lösung

(h, k) = (- 2, 1), a = 6, b = \frac{6}{5}

Schritte zur Lösung

x^{2} - 5 y^{2} + 10 y + 4 x - 37 = 0

Rewrite

x^{2} - 5 y^{2} + 10 y + 4 x - 37 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 2 ) ) ^{2}}{6 ^{2}} - \frac{( y - 1 ) ^{2}}{( \frac{6}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = 6, b = \frac{6}{5}

Graph

Beliebte Beispiele

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

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

a^{2} - b^{2} = 14

a^{2} - b^{2} = 42

5y^2-50y+44=9x^2-36x

5 y^{2} - 50 y + 44 = 9 x^{2} - 36 x

solvefor x,h(x)^2=42+(7x)^2

so l v e f or x, h (x)^{2} = 42 + (7 x)^{2}