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Beliebt Geometry >

x^2+x+41=y^2

Lösung

x^{2} + x + 41 = y^{2}

Lösung

(h, k) = (- \frac{1}{2}, 0), a = \frac{163}{2}, b = \frac{163}{2}

Schritte zur Lösung

x^{2} + x + 41 = y^{2}

Rewrite

x^{2} + x + 41 = y^{2}

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{163}{2} ) ^{2}} - \frac{( x - ( - \frac{1}{2} ) ) ^{2}}{( \frac{163}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{1}{2}, 0), a = \frac{163}{2}, b = \frac{163}{2}

Graph

Beliebte Beispiele

x^2+10x+25-y^2-6y+9=36

x^{2} + 10 x + 25 - y^{2} - 6 y + 9 = 36

y^{2} = x^{2} + 3

(x^2}{64}-\frac{y^2)/9 =1

\frac{x ^{2}}{64} - \frac{y ^{2}}{9} = 1

x^{2} - 4 y^{2} + 4 = 0

36 y^{2} - x^{2} = 9