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Popular >

x^2=y^2+16

Solution

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

Solution

(h, k) = (0, 0), a = 4, b = 4

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 4

Popular Examples

-x^2+4x+3y^2-12y-4=0

- x^{2} + 4 x + 3 y^{2} - 12 y - 4 = 0

16*(x^2-2x)-25(y^2-4y)=484

16 \cdot (x^{2} - 2 x) - 25 (y^{2} - 4 y) = 484

((x-2)^2)/(12)-((3y^2+y))/(12)=1

\frac{( x - 2 ) ^{2}}{12} - \frac{( 3 y ^{2} + y )}{12} = 1

2x-4x^2=-9y^2-21y-50

2 x - 4 x^{2} = - 9 y^{2} - 21 y - 50

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

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

Frequently Asked Questions (FAQ)

What is x^2=y^2+16 ?
The solution to x^2=y^2+16 is Hyperbola with (h,k)=(0,0),a=4,b=4