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Popular >

y^2=x^2+13

Solution

y^{2} = x^{2} + 13

Solution

(h, k) = (0, 0), a = 13, b = 13

Solution steps

y^{2} = x^{2} + 13

Rewrite

y^{2} = x^{2} + 13

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 13 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 13 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 13, b = 13

Popular Examples

y^{2} = x^{2} + 14

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

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

((y-13)^2)/9-((x-10)^2)/(49)=1

\frac{( y - 13 ) ^{2}}{9} - \frac{( x - 10 ) ^{2}}{49} = 1

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

\frac{x ^{2}}{3} - \frac{y ^{2}}{3} = 1

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

Frequently Asked Questions (FAQ)

What is y^2=x^2+13 ?
The solution to y^2=x^2+13 is Hyperbola with (h,k)=(0,0),a=sqrt(13),b=sqrt(13)