What is y^2=-0.8944+1.125x^2 ?

The solution to y^2=-0.8944+1.125x^2 is Hyperbola with (h,k)=(0,0),a=0.89164…,b=0.94572…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^2=-0.8944+1.125x^2

y^{2} = - 0.8944 + 1.125 x^{2}

(h, k) = (0, 0), a = 0.89164 \dots, b = 0.94572 \dots

Solution steps

y^{2} = - 0.8944 + 1.125 x^{2}

Rewrite

y^{2} = - 0.8944 + 1.125 x^{2}

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{0.89164 \dots ^{2}} - \frac{( y - 0 ) ^{2}}{0.94572 \dots ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 0.89164 \dots, b = 0.94572 \dots

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

(5 x - 4)^{2} = (8 y + 2) \cdot y

4 x^{2} - 8 y^{2} \leq 12

\frac{( x - 3 ) ^{2}}{25} - \frac{( y + 2 ) ^{2}}{9} = 1

x^{2} - y^{2} - 8 x - 8 y - 15 = 0

What is y^2=-0.8944+1.125x^2 ?
The solution to y^2=-0.8944+1.125x^2 is Hyperbola with (h,k)=(0,0),a=0.89164…,b=0.94572…