de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

7x+14y-8x^2-8y^2=15

Lösung

7 x + 14 y - 8 x^{2} - 8 y^{2} = 15

Lösung

(h, k) = (\frac{7}{16}, \frac{7}{8}), a = \frac{235}{16}, b = \frac{235}{16}

Schritte zur Lösung

7 x + 14 y - 8 x^{2} - 8 y^{2} = 15

Rewrite

7 x + 14 y - 8 x^{2} - 8 y^{2} = 15

in the form of the standard ellipse equation

\frac{( x - \frac{7}{16} ) ^{2}}{( \frac{235}{16} ) ^{2}} + \frac{( y - \frac{7}{8} ) ^{2}}{( \frac{235}{16} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{7}{16}, \frac{7}{8}), a = \frac{235}{16}, b = \frac{235}{16}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (\frac{7}{16}, \frac{7}{8}), b = \frac{235}{16}, a = \frac{235}{16}

Graph

Beliebte Beispiele

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

\frac{( x - 5 ) ^{2}}{9} + \frac{( y + 3 ) ^{2}}{4} = 1

(y^2)/(16)+(x^2)/(36)=1

\frac{y ^{2}}{16} + \frac{x ^{2}}{36} = 1

((x+2)^2)/(55)+((y-2)^2)/(64)=1

\frac{( x + 2 ) ^{2}}{55} + \frac{( y - 2 ) ^{2}}{64} = 1

((x+4)^2}{25}+\frac{(y+7)^2)/4 =1

\frac{( x + 4 ) ^{2}}{25} + \frac{( y + 7 ) ^{2}}{4} = 1

-8x^2-y^2-4x+5y+9=0

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