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Popular >

y y/x+1=x

Solution

y \frac{y}{x} + 1 = x

Solution

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

Solution steps

y \frac{y}{x} + 1 = x

Rewrite

y \frac{y}{x} + 1 - x = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

((x-1)^2)/(25)-((y+6)^2)/(49)=1

\frac{( x - 1 ) ^{2}}{25} - \frac{( y + 6 ) ^{2}}{49} = 1

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

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

36x^2-9y^2-324=0

36 x^{2} - 9 y^{2} - 324 = 0

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

x^2+42x+441=72y+y^2

x^{2} + 42 x + 441 = 72 y + y^{2}

Frequently Asked Questions (FAQ)

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