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受欢迎的代数 >

solvefor x,(x^2)/4+y^2+(z^2)/9 =3

解答

求解

x, \frac{x ^{2}}{4} + y^{2} + \frac{z ^{2}}{9} = 3

解答

x = \frac{2 27 - 9 y ^{2} - z ^{2}}{3}, x = - \frac{2 27 - 9 y ^{2} - z ^{2}}{3}

求解步骤

\frac{x ^{2}}{4} + y^{2} + \frac{z ^{2}}{9} = 3

将

y^{2}

到右边

\frac{x ^{2}}{4} + \frac{z ^{2}}{9} = 3 - y^{2}

将

\frac{z ^{2}}{9}

到右边

\frac{x ^{2}}{4} = 3 - y^{2} - \frac{z ^{2}}{9}

在两边乘以

4

x^{2} = 12 - 4 y^{2} - \frac{4 z ^{2}}{9}

对于

x^{2} = f (a)

解为

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

x = 12 - 4 y^{2} - \frac{4 z ^{2}}{9}, x = - 12 - 4 y^{2} - \frac{4 z ^{2}}{9}

化简

12 - 4 y^{2} - \frac{4 z ^{2}}{9} : \frac{2 27 - 9 y ^{2} - z ^{2}}{3}

化简

- 12 - 4 y^{2} - \frac{4 z ^{2}}{9} : - \frac{2 27 - 9 y ^{2} - z ^{2}}{3}

x = \frac{2 27 - 9 y ^{2} - z ^{2}}{3}, x = - \frac{2 27 - 9 y ^{2} - z ^{2}}{3}

作图

流行的例子

12 x^{2} = 108

solvefor x,x^2-kx+169=0

so l v e f or x, x^{2} - k x + 169 = 0

p^{2} - 4 p - 8 = 0

solvefor D,D^2y+3Dy+2y=15e^{4x}

so l v e f or D, D^{2} y + 3 Dy + 2 y = 15 e^{4 x}

solvefor y,0=x^3+xy^2-y^2

so l v e f or y, 0 = x^{3} + x y^{2} - y^{2}