zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

solvefor y,(x^2)/(a^2)+(y^2)/(b^2)=1

解答

求解

y, \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

解答

y = \frac{b a ^{2} - x ^{2}}{a}, y = - \frac{b a ^{2} - x ^{2}}{a}; b \neq = 0

求解步骤

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

将

\frac{x ^{2}}{a ^{2}}

到右边

\frac{y ^{2}}{b ^{2}} = 1 - \frac{x ^{2}}{a ^{2}}

在两边乘以

b^{2}

y^{2} = b^{2} - \frac{b ^{2} x ^{2}}{a ^{2}}; b \neq = 0

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

y = b^{2} - \frac{b ^{2} x ^{2}}{a ^{2}}, y = - b^{2} - \frac{b ^{2} x ^{2}}{a ^{2}}; b \neq = 0

化简

b^{2} - \frac{b ^{2} x ^{2}}{a ^{2}} : \frac{b a ^{2} - x ^{2}}{a}

化简

- b^{2} - \frac{b ^{2} x ^{2}}{a ^{2}} : - \frac{b a ^{2} - x ^{2}}{a}

y = \frac{b a ^{2} - x ^{2}}{a}, y = - \frac{b a ^{2} - x ^{2}}{a}; b \neq = 0

作图

流行的例子

2 k^{2} + 5 k + 3 = 0

10 x^{2} - 100 x = 0

(x+1)/2+(10x^2+3x)/8 =(x^2)/4+5/8

\frac{x + 1}{2} + \frac{10 x ^{2} + 3 x}{8} = \frac{x ^{2}}{4} + \frac{5}{8}

z^{2} + 4 z + 5 = 0

11 x^{2} - x = 0