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Popular >

y^2=2x^2+1

Solution

y^{2} = 2 x^{2} + 1

Solution

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

Solution steps

y^{2} = 2 x^{2} + 1

Rewrite

y^{2} = 2 x^{2} + 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

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

x^{2} - 9 y^{2} + 9 = 0

f(x)(x)^{-1}f(x)=5x-3

f (x) (x)^{- 1} f (x) = 5 x - 3

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

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

4x^2+16x-25y^2+50y-109=0

4 x^{2} + 16 x - 25 y^{2} + 50 y - 109 = 0

Frequently Asked Questions (FAQ)

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