What is 6x^2-48x+y^2+5=0 ?

The solution to 6x^2-48x+y^2+5=0 is Ellipse with (h,k)=(4,0),a=sqrt(91/6),b=sqrt(91)

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6x^2-48x+y^2+5=0

6 x^{2} - 48 x + y^{2} + 5 = 0

(h, k) = (4, 0), a = \frac{91}{6}, b = 91

Solution steps

6 x^{2} - 48 x + y^{2} + 5 = 0

Rewrite

6 x^{2} - 48 x + y^{2} + 5 = 0

in the form of the standard ellipse equation

\frac{( x - 4 ) ^{2}}{( \frac{91}{6} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 91 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, 0), a = \frac{91}{6}, b = 91

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, 0), b = 91, a = \frac{91}{6}

x \to (- k + 1) lim (\frac{1}{x - 2})

y^{^{'}} + 8 y = 0

\int (x + 1) x^{2} + 2 x + 3 d x

\frac{d}{d x} (x^{- \frac{2}{5}} + x^{\frac{2}{5}})

- \frac{48}{s ^{5}}

What is 6x^2-48x+y^2+5=0 ?
The solution to 6x^2-48x+y^2+5=0 is Ellipse with (h,k)=(4,0),a=sqrt(91/6),b=sqrt(91)