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受欢迎的代数 >

solvefor x,(x^2)/4+(y^2)/9-(z^2)/(25)=0

解答

求解

x, \frac{x ^{2}}{4} + \frac{y ^{2}}{9} - \frac{z ^{2}}{25} = 0

解答

x = \frac{2 - 25 y ^{2} + 9 z ^{2}}{15}, x = - \frac{2 - 25 y ^{2} + 9 z ^{2}}{15}

求解步骤

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} - \frac{z ^{2}}{25} = 0

将

\frac{y ^{2}}{9}

到右边

\frac{x ^{2}}{4} - \frac{z ^{2}}{25} = - \frac{y ^{2}}{9}

将

\frac{z ^{2}}{25}

到右边

\frac{x ^{2}}{4} = - \frac{y ^{2}}{9} + \frac{z ^{2}}{25}

在两边乘以

4

x^{2} = - \frac{4 y ^{2}}{9} + \frac{4 z ^{2}}{25}

对于

x^{2} = f (a)

解为

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

x = - \frac{4 y ^{2}}{9} + \frac{4 z ^{2}}{25}, x = - - \frac{4 y ^{2}}{9} + \frac{4 z ^{2}}{25}

化简

- \frac{4 y ^{2}}{9} + \frac{4 z ^{2}}{25} : \frac{2 - 25 y ^{2} + 9 z ^{2}}{15}

化简

- - \frac{4 y ^{2}}{9} + \frac{4 z ^{2}}{25} : - \frac{2 - 25 y ^{2} + 9 z ^{2}}{15}

x = \frac{2 - 25 y ^{2} + 9 z ^{2}}{15}, x = - \frac{2 - 25 y ^{2} + 9 z ^{2}}{15}

作图

流行的例子

solvefor x,z=x^2-4xy+y^2-6y

so l v e f or x, z = x^{2} - 4 x y + y^{2} - 6 y

solvefor x,x^2+y^2-12x+14y+85=0

so l v e f or x, x^{2} + y^{2} - 12 x + 14 y + 85 = 0

(x^{2} - 10 x + 21) = 0

0 = x^{2} - 3 x - 2

0 = x^{2} - 3 x - 5