What is 9x^2+y^2=84 ?

The solution to 9x^2+y^2=84 is Ellipse with (h,k)=(0,0),a=(2sqrt(7))/(sqrt(3)),b=2sqrt(21)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2+y^2=84

9 x^{2} + y^{2} = 84

(h, k) = (0, 0), a = \frac{2 7}{3}, b = 221

Solution steps

9 x^{2} + y^{2} = 84

Rewrite

9 x^{2} + y^{2} = 84

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{2 7}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 21 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{2 7}{3}, b = 221

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 221, a = \frac{2 7}{3}

3 x^{2} + 2 y^{2} = 36

x^{2} + 2 y^{2} + 2 x - 8 y + 7 = 0

9 x^{2} + 16 y^{2} = 576

5 x^{2} + 2 y^{2} = 50

4 x^{2} + 9 y^{2} - 16 x + 36 y + 16 = 0

What is 9x^2+y^2=84 ?
The solution to 9x^2+y^2=84 is Ellipse with (h,k)=(0,0),a=(2sqrt(7))/(sqrt(3)),b=2sqrt(21)