What is 225x^2+289y^2=65025 ?

The solution to 225x^2+289y^2=65025 is Ellipse with (h,k)=(0,0),a=17,b=15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

225x^2+289y^2=65025

225 x^{2} + 289 y^{2} = 65025

(h, k) = (0, 0), a = 17, b = 15

Solution steps

225 x^{2} + 289 y^{2} = 65025

Rewrite

225 x^{2} + 289 y^{2} = 65025

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 17, b = 15

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 17, b = 15

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

25 x^{2} + 9 y^{2} = 25

x^{2} + 2 y^{2} - 6 x - 20 y + 59 = 12

x^{2} + 4 y^{2} - 46 = 0

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} - 1 = 0

What is 225x^2+289y^2=65025 ?
The solution to 225x^2+289y^2=65025 is Ellipse with (h,k)=(0,0),a=17,b=15