What is y^2=40^2+x^2 ?

The solution to y^2=40^2+x^2 is Hyperbola with (h,k)=(0,0),a=40,b=40

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^2=40^2+x^2

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

(h, k) = (0, 0), a = 40, b = 40

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{4 0 ^{2}} - \frac{( x - 0 ) ^{2}}{4 0 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 40, b = 40

x^{2} - 3 y^{2} - 8 x + 18 y - 14 = 0

x^{2} - 4 y^{2} - 8 y + 2 = 4

4 y^{2} - x^{2} = 1

16 y^{2} - 4 x^{2} + 16 x - 80 = 20

x^{2} - y^{2} + 6 x - 4 y + 4 = 0

What is y^2=40^2+x^2 ?
The solution to y^2=40^2+x^2 is Hyperbola with (h,k)=(0,0),a=40,b=40