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Popular >

5y^2+24y+16-4x^2=0

Solution

5 y^{2} + 24 y + 16 - 4 x^{2} = 0

Solution

(h, k) = (0, - \frac{12}{5}), a = \frac{8}{5}, b = \frac{4}{5}

Solution steps

5 y^{2} + 24 y + 16 - 4 x^{2} = 0

Rewrite

5 y^{2} + 24 y + 16 - 4 x^{2} = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{12}{5} ) ) ^{2}}{( \frac{8}{5} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{4}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - \frac{12}{5}), a = \frac{8}{5}, b = \frac{4}{5}

Popular Examples

-12x^2+9y^2+24x-6y+9=0

- 12 x^{2} + 9 y^{2} + 24 x - 6 y + 9 = 0

(y^2)/4-(x^2)/(16)=1

\frac{y ^{2}}{4} - \frac{x ^{2}}{16} = 1

-((x-3)^2)/(25)+((y-4)^2)/(36)=1

- \frac{( x - 3 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{36} = 1

137+6y=y^2-24x-x^2

137 + 6 y = y^{2} - 24 x - x^{2}

(y^2)/(25)-((x-5)^2)/(16)=1

\frac{y ^{2}}{25} - \frac{( x - 5 ) ^{2}}{16} = 1

Frequently Asked Questions (FAQ)

What is 5y^2+24y+16-4x^2=0 ?
The solution to 5y^2+24y+16-4x^2=0 is Hyperbola with (h,k)=(0,-12/5),a= 8/5 ,b= 4/(sqrt(5))