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Popular >

x^2=y^2-25

Solution

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

Solution

(h, k) = (0, 0), a = 5, b = 5

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 5

Popular Examples

(y + 1)^{2} - x^{2} = 8

3x^2-y^2+18x+18=0

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

36x^2-25y^2-8x-8y+76=0

36 x^{2} - 25 y^{2} - 8 x - 8 y + 76 = 0

-16x^2+9y^2-64x-18y=199

- 16 x^{2} + 9 y^{2} - 64 x - 18 y = 199

(x^2)/4-(y^2)/9 =-1

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = - 1

Frequently Asked Questions (FAQ)

What is x^2=y^2-25 ?
The solution to x^2=y^2-25 is Hyperbola with (h,k)=(0,0),a=5,b=5