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Popular >

x^2-y^2=32

Solution

x^{2} - y^{2} = 32

Solution

(h, k) = (0, 0), a = 42, b = 42

Solution steps

x^{2} - y^{2} = 32

Rewrite

x^{2} - y^{2} = 32

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 4 2 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 4 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 42, b = 42

Popular Examples

4x^2-y^2+16x+8y=36

4 x^{2} - y^{2} + 16 x + 8 y = 36

X^2-3Y^2+2X+6Y-1=0

X^{2} - 3 Y^{2} + 2 X + 6 Y - 1 = 0

16 x^{2} - y^{2} = 16

16y^2-9x^2+36x+96y-36=0

16 y^{2} - 9 x^{2} + 36 x + 96 y - 36 = 0

4x^2-25y^2-8x-100y-196=0

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

Frequently Asked Questions (FAQ)

What is x^2-y^2=32 ?
The solution to x^2-y^2=32 is Hyperbola with (h,k)=(0,0),a=4sqrt(2),b=4sqrt(2)