What is 49x^2+64y^2=25 ?

The solution to 49x^2+64y^2=25 is Ellipse with (h,k)=(0,0),a= 5/7 ,b= 5/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

49x^2+64y^2=25

49 x^{2} + 64 y^{2} = 25

(h, k) = (0, 0), a = \frac{5}{7}, b = \frac{5}{8}

Solution steps

49 x^{2} + 64 y^{2} = 25

Rewrite

49 x^{2} + 64 y^{2} = 25

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{5}{7} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{5}{8} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{5}{7}, b = \frac{5}{8}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{5}{7}, b = \frac{5}{8}

What is 49x^2+64y^2=25 ?
The solution to 49x^2+64y^2=25 is Ellipse with (h,k)=(0,0),a= 5/7 ,b= 5/8