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Popular >

x^2-y^2=4x

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

a^2+10^2+11^2=c^2

a^{2} + 1 0^{2} + 1 1^{2} = c^{2}

(x^2)/4-((y+1)^2)/(16)=1

\frac{x ^{2}}{4} - \frac{( y + 1 ) ^{2}}{16} = 1

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

18x^2-32y^2-108y-128x-254=0

18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

9x^2-16y^2-18x-64y-199=0

9 x^{2} - 16 y^{2} - 18 x - 64 y - 199 = 0

Frequently Asked Questions (FAQ)

What is x^2-y^2=4x ?
The solution to x^2-y^2=4x is Hyperbola with (h,k)=(2,0),a=2,b=2