de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

2x^2+3y^2+8x+8y-10=0

Lösung

2 x^{2} + 3 y^{2} + 8 x + 8 y - 10 = 0

Lösung

(h, k) = (- 2, - \frac{4}{3}), a = \frac{35}{3}, b = \frac{70}{3}

Schritte zur Lösung

2 x^{2} + 3 y^{2} + 8 x + 8 y - 10 = 0

Rewrite

2 x^{2} + 3 y^{2} + 8 x + 8 y - 10 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{( \frac{35}{3} ) ^{2}} + \frac{( y - ( - \frac{4}{3} ) ) ^{2}}{( \frac{70}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, - \frac{4}{3}), a = \frac{35}{3}, b = \frac{70}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, - \frac{4}{3}), a = \frac{35}{3}, b = \frac{70}{3}

Graph

Beliebte Beispiele

f(x)=x^2+3f(x)(f(x))

f (x) = x^{2} + 3 f (x) (f (x))

16 x^{2} + 36 y^{2} = 49

((x+1.23)^2)/(1.59^2)+(y^2)/(1.01^2)=1

\frac{( x + 1.23 ) ^{2}}{1.5 9 ^{2}} + \frac{y ^{2}}{1.0 1 ^{2}} = 1

(x^2}{12}+\frac{y^2)/9 =1

\frac{x ^{2}}{12} + \frac{y ^{2}}{9} = 1

5x^2+6y^2-30x-24y+39=0

5 x^{2} + 6 y^{2} - 30 x - 24 y + 39 = 0