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Popular >

((y+1)^2)/(sqrt(5^2))-((x-1)^2)/(1^2)=1

Solution

\frac{( y + 1 ) ^{2}}{5 ^{2}} - \frac{( x - 1 ) ^{2}}{1 ^{2}} = 1

Solution

(h, k) = (1, - 1), a = 5, b = 1

Solution steps

\frac{( y + 1 ) ^{2}}{5 ^{2}} - \frac{( x - 1 ) ^{2}}{1 ^{2}} = 1

Rewrite

\frac{( y + 1 ) ^{2}}{5 ^{2}} - \frac{( x - 1 ) ^{2}}{1 ^{2}} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 1), a = 5, b = 1

Popular Examples

4x^2+4(0)^2-z^2=4

4 x^{2} + 4 (0)^{2} - z^{2} = 4

((x-3)^2)/(36)-((y-1)^2)/(16)=1

\frac{( x - 3 ) ^{2}}{36} - \frac{( y - 1 ) ^{2}}{16} = 1

16x^2-25y^2+256x+150y+399=0

16 x^{2} - 25 y^{2} + 256 x + 150 y + 399 = 0

y^2-x^2+y-x-14=0

y^{2} - x^{2} + y - x - 14 = 0

9x^2-4y^2-90x-32y+125=0

9 x^{2} - 4 y^{2} - 90 x - 32 y + 125 = 0

Frequently Asked Questions (FAQ)

What is ((y+1)^2)/(sqrt(5^2))-((x-1)^2)/(1^2)=1 ?
The solution to ((y+1)^2)/(sqrt(5^2))-((x-1)^2)/(1^2)=1 is Hyperbola with (h,k)=(1,-1),a=sqrt(5),b=1