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Popular >

y+y^2=x^2

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

((x+3)^2)/9-((y-1)^2)/(49)=1

\frac{( x + 3 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{49} = 1

9 y^{2} - z^{2} = 36

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

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

-16x^2+4y^2-32x+16y-64=0

- 16 x^{2} + 4 y^{2} - 32 x + 16 y - 64 = 0

4x^2-16x-9y^2=20

4 x^{2} - 16 x - 9 y^{2} = 20

Frequently Asked Questions (FAQ)

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