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Beliebt Geometry >

4x^2-4y^2-32x+16y+39=0

Lösung

4 x^{2} - 4 y^{2} - 32 x + 16 y + 39 = 0

Lösung

(h, k) = (4, 2), a = \frac{3}{2}, b = \frac{3}{2}

Schritte zur Lösung

4 x^{2} - 4 y^{2} - 32 x + 16 y + 39 = 0

Rewrite

4 x^{2} - 4 y^{2} - 32 x + 16 y + 39 = 0

in the form of a standard hyperbola equation

\frac{( x - 4 ) ^{2}}{( \frac{3}{2} ) ^{2}} - \frac{( y - 2 ) ^{2}}{( \frac{3}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, 2), a = \frac{3}{2}, b = \frac{3}{2}

Graph

Beliebte Beispiele

y^2-2y=x^2+2x+1

y^{2} - 2 y = x^{2} + 2 x + 1

p^{2} + 2021 = q^{2}

((y-1)^2)/(4^2)-((x+3)^2)/(5^2)=1

\frac{( y - 1 ) ^{2}}{4 ^{2}} - \frac{( x + 3 ) ^{2}}{5 ^{2}} = 1

x^2-9y^2+4x+18y-149=3

x^{2} - 9 y^{2} + 4 x + 18 y - 149 = 3

3x^2-2y^2-12x-16y+4=0

3 x^{2} - 2 y^{2} - 12 x - 16 y + 4 = 0