en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x^2+7y^2=1

Solution

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

Solution

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

Solution steps

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

Rewrite

3 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}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Popular Examples

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

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

((x+2)^2)/(36)+((y+1)^2)/(25)=1

\frac{( x + 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

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

((x-3)^2}{16}+\frac{(y-1)^2)/4 =1

\frac{( x - 3 ) ^{2}}{16} + \frac{( y - 1 ) ^{2}}{4} = 1

4x^2+y^2-32x+16y+124=0

4 x^{2} + y^{2} - 32 x + 16 y + 124 = 0

Frequently Asked Questions (FAQ)

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