What is 49x^2+25y^2=1225 ?

The solution to 49x^2+25y^2=1225 is Ellipse with (h,k)=(0,0),a=5,b=7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

49x^2+25y^2=1225

49 x^{2} + 25 y^{2} = 1225

(h, k) = (0, 0), a = 5, b = 7

Solution steps

49 x^{2} + 25 y^{2} = 1225

Rewrite

49 x^{2} + 25 y^{2} = 1225

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 7, a = 5

4 (x - 1)^{2} + 25 (y - 3)^{2} = 1

(\frac{4}{9 - x ^{2} - y ^{2}})^{2} = 16

\frac{( y - 8 ) ^{2}}{9} + \frac{( x - 5 ) ^{2}}{4} = 1

0 = 4 x^{2} + y^{2} + 1

\frac{x ^{2}}{16} + \frac{( y - 2 ) ^{2}}{9} = 1

What is 49x^2+25y^2=1225 ?
The solution to 49x^2+25y^2=1225 is Ellipse with (h,k)=(0,0),a=5,b=7