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Popular >

x^2+1=2y^2

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

46^2x^2=40^2y^2+1600

4 6^{2} x^{2} = 4 0^{2} y^{2} + 1600

4x^2-45y^2-180=0

4 x^{2} - 45 y^{2} - 180 = 0

36x^{(2)}-16y^{(2)}-288x+160y-400=0

36 x^{(2)} - 16 y^{(2)} - 288 x + 160 y - 400 = 0

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

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

(x-y)(x+y-1)=2018

(x - y) (x + y - 1) = 2018

Frequently Asked Questions (FAQ)

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