de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

center x^2-2y^2+3x+4y=2

Lösung

center

x^{2} - 2 y^{2} + 3 x + 4 y = 2

Lösung

(- \frac{3}{2}, 1)

Schritte zur Lösung

x^{2} - 2 y^{2} + 3 x + 4 y = 2

Rewrite

x^{2} - 2 y^{2} + 3 x + 4 y = 2

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- \frac{3}{2}, 1), a = \frac{3}{2}, b = \frac{3}{2 2}

And the center is:

(- \frac{3}{2}, 1)

Graph

Beliebte Beispiele

center ((x-5)^2)/4-((y-3)^2)/9 =1

ce n t er \frac{( x - 5 ) ^{2}}{4} - \frac{( y - 3 ) ^{2}}{9} = 1

center 4y^2-9x^2+8y-54x-113=0

ce n t er 4 y^{2} - 9 x^{2} + 8 y - 54 x - 113 = 0

center y^2-x^2= 9/25

ce n t er y^{2} - x^{2} = \frac{9}{25}

center 9x^2-16y^2-108x+128y+212=0

ce n t er 9 x^{2} - 16 y^{2} - 108 x + 128 y + 212 = 0

center y^2=x^2-1

ce n t er y^{2} = x^{2} - 1