What is -2x^2+y^2+20x+6y-45=0 ?

The solution to -2x^2+y^2+20x+6y-45=0 is Hyperbola with (h,k)=(5,-3),a=2,b=sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2x^2+y^2+20x+6y-45=0

- 2 x^{2} + y^{2} + 20 x + 6 y - 45 = 0

(h, k) = (5, - 3), a = 2, b = 2

Solution steps

- 2 x^{2} + y^{2} + 20 x + 6 y - 45 = 0

Rewrite

- 2 x^{2} + y^{2} + 20 x + 6 y - 45 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 3 ) ) ^{2}}{2 ^{2}} - \frac{( x - 5 ) ^{2}}{( 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 3), a = 2, b = 2

\frac{y ^{2}}{80} - \frac{x ^{2}}{4} = 1

\frac{( y + 6 ) ^{2}}{25} - (x - 2)^{2} = 1

y^{2} \leq x^{2} - 1

7 x^{2} - 7 y^{2} + 5 x - 10 y + 22 = 0

\frac{( y - 4 ) ^{2}}{49} - \frac{( x + 5 ) ^{2}}{16} = 1

What is -2x^2+y^2+20x+6y-45=0 ?
The solution to -2x^2+y^2+20x+6y-45=0 is Hyperbola with (h,k)=(5,-3),a=2,b=sqrt(2)