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Popular >

a^2-b^2=50

Solution

a^{2} - b^{2} = 50

Solution

(h, k) = (0, 0), a = 52, b = 52

Solution steps

a^{2} - b^{2} = 50

Rewrite

a^{2} - b^{2} = 50

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 5 2 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 5 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 52, b = 52

Popular Examples

x^{2} - 9 = 2 y^{2}

4x^2-24x-25y^2+250y-489=0

4 x^{2} - 24 x - 25 y^{2} + 250 y - 489 = 0

(y^2)/(10^2)-(x^2)/(24^2)=1

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

4x^2-y^2+24x+40=0

4 x^{2} - y^{2} + 24 x + 40 = 0

4x^2-y^2+16x+2y=21

4 x^{2} - y^{2} + 16 x + 2 y = 21

Frequently Asked Questions (FAQ)

What is a^2-b^2=50 ?
The solution to a^2-b^2=50 is Hyperbola with (h,k)=(0,0),a=5sqrt(2),b=5sqrt(2)