What is 2x-4x^2=-9y^2-21y-50 ?

The solution to 2x-4x^2=-9y^2-21y-50 is Hyperbola with (h,k)=(1/4 ,-7/6),a=sqrt(19/2),b=(sqrt(38))/3

Popular >

2x-4x^2=-9y^2-21y-50

2 x - 4 x^{2} = - 9 y^{2} - 21 y - 50

(h, k) = (\frac{1}{4}, - \frac{7}{6}), a = \frac{19}{2}, b = \frac{38}{3}

Solution steps

2 x - 4 x^{2} = - 9 y^{2} - 21 y - 50

Rewrite

2 x - 4 x^{2} = - 9 y^{2} - 21 y - 50

in the form of a standard hyperbola equation

\frac{( x - \frac{1}{4} ) ^{2}}{( \frac{19}{2} ) ^{2}} - \frac{( y - ( - \frac{7}{6} ) ) ^{2}}{( \frac{38}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{4}, - \frac{7}{6}), a = \frac{19}{2}, b = \frac{38}{3}

\frac{( x + 3 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{4} = 1

(\frac{K ( x )}{2})^{2} = 4096 + 4096 - 128 x + x^{2}

1 \cdot 3 = (a + b) (a - b)

x^{2} - y^{2} = - (1)

x, 2 x^{2} - 28 x + 196 = r (x)^{2}

What is 2x-4x^2=-9y^2-21y-50 ?
The solution to 2x-4x^2=-9y^2-21y-50 is Hyperbola with (h,k)=(1/4 ,-7/6),a=sqrt(19/2),b=(sqrt(38))/3