en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=x^2-y^2

Solution

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

Solution

(h, k) = (0, - \frac{1}{2}), a = \frac{1}{2}, b = \frac{1}{2}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, - \frac{1}{2}), a = \frac{1}{2}, b = \frac{1}{2}

Popular Examples

y^{2} = x^{2} + 196

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

(x-2)^2-(y-1)^2=9

(x - 2)^{2} - (y - 1)^{2} = 9

25x^2+10918x-25y^2-29y=2321

25 x^{2} + 10918 x - 25 y^{2} - 29 y = 2321

100x^2+112952x-100y^2-106y=48838

100 x^{2} + 112952 x - 100 y^{2} - 106 y = 48838

Frequently Asked Questions (FAQ)

What is y=x^2-y^2 ?
The solution to y=x^2-y^2 is Hyperbola with (h,k)=(0,-1/2),a= 1/2 ,b= 1/2