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Popular >

y^2=x^2-25

Solution

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

Solution

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

Solution steps

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

Rewrite

y^{2} = x^{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

((x+4)^2)/9-((y-3)^2)/(25)=1

\frac{( x + 4 ) ^{2}}{9} - \frac{( y - 3 ) ^{2}}{25} = 1

-4x^2+25y^2-100=0

- 4 x^{2} + 25 y^{2} - 100 = 0

9x^2-7y^2-72y+144=0

9 x^{2} - 7 y^{2} - 72 y + 144 = 0

4x^2-4y^2+8x-4y-3=0

4 x^{2} - 4 y^{2} + 8 x - 4 y - 3 = 0

y^2-4x^2-12y-16x*16=0

y^{2} - 4 x^{2} - 12 y - 16 x \cdot 16 = 0

Frequently Asked Questions (FAQ)

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