What is -4x^2+25y^2-100=0 ?

The solution to -4x^2+25y^2-100=0 is Hyperbola with (h,k)=(0,0),a=2,b=5

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-4x^2+25y^2-100=0

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

(h, k) = (0, 0), a = 2, b = 5

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{2 ^{2}} - \frac{( x - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 5

9 x^{2} - 7 y^{2} - 72 y + 144 = 0

4 x^{2} - 4 y^{2} + 8 x - 4 y - 3 = 0

y^{2} - 4 x^{2} - 12 y - 16 x \cdot 16 = 0

\frac{y ^{2}}{6} - 4 x^{2} = 1

y^{2} + 17 = 3 x^{2}

What is -4x^2+25y^2-100=0 ?
The solution to -4x^2+25y^2-100=0 is Hyperbola with (h,k)=(0,0),a=2,b=5