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Popular >

a=a^2-b^2

Solution

a = a^{2} - b^{2}

Solution

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

Solution steps

a = a^{2} - b^{2}

Rewrite

a = a^{2} - b^{2}

in the form of a standard hyperbola equation

\frac{( a - \frac{1}{2} ) ^{2}}{( \frac{1}{2} ) ^{2}} - \frac{( b - 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^2)/8-(y^2)/(64)=1

\frac{x ^{2}}{8} - \frac{y ^{2}}{64} = 1

2x4x+(-2)y4y=-200

2 x 4 x + (- 2) y 4 y = - 200

x=(5x^2-5y^2)/2

x = \frac{5 x ^{2} - 5 y ^{2}}{2}

-3x^2+2y^2+18x-20y+17=0

- 3 x^{2} + 2 y^{2} + 18 x - 20 y + 17 = 0

(x^2)/(8^2)-(y^2)/(5^2)=1

\frac{x ^{2}}{8 ^{2}} - \frac{y ^{2}}{5 ^{2}} = 1

Frequently Asked Questions (FAQ)

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