What is 9x^2+7y^2=1 ?

The solution to 9x^2+7y^2=1 is Ellipse with (h,k)=(0,0),a= 1/3 ,b=sqrt(1/7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2+7y^2=1

9 x^{2} + 7 y^{2} = 1

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{7}

Solution steps

9 x^{2} + 7 y^{2} = 1

Rewrite

9 x^{2} + 7 y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{7}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{1}{7}, a = \frac{1}{3}

8 x^{2} - 96 x + 18 y^{2} + 144 y + 288 = 0

2 x^{2} + 49 y^{2} = 98

4 x^{2} + 9 y^{2} - 40 x + 54 y + 1 + 5 = 0

9 x^{2} + 4 y^{2} - 18 x + 16 y - 119 = 0

25 x^{2} + 9 y^{2} - 100 x + 18 x - 116 = 0

What is 9x^2+7y^2=1 ?
The solution to 9x^2+7y^2=1 is Ellipse with (h,k)=(0,0),a= 1/3 ,b=sqrt(1/7)