What is 10x^{(2)}-25y^{(2)}=100 ?

The solution to 10x^{(2)}-25y^{(2)}=100 is Hyperbola with (h,k)=(0,0),a=sqrt(10),b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10x^{(2)}-25y^{(2)}=100

10 x^{(2)} - 25 y^{(2)} = 100

(h, k) = (0, 0), a = 10, b = 2

Solution steps

10 x^{2} - 25 y^{2} = 100

Rewrite

10 x^{2} - 25 y^{2} = 100

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 10 ) ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 10, b = 2

5 x^{2} - 4 y^{2} + 40 x + 24 y + 24 = 0

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

x^{2} - 81 y^{2} = 81

y^{2} - 9 x^{2} - 8 y - 54 x - 81 = 0

4 x^{2} - 12 y^{2} - 24 x + 24 y + 51 = 0

What is 10x^{(2)}-25y^{(2)}=100 ?
The solution to 10x^{(2)}-25y^{(2)}=100 is Hyperbola with (h,k)=(0,0),a=sqrt(10),b=2