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受欢迎的代数 >

solvefor x,36x^2+100y^2+225z^2=12600

解答

求解

x, 36 x^{2} + 100 y^{2} + 225 z^{2} = 12600

解答

x = \frac{5 504 - 4 y ^{2} - 9 z ^{2}}{6}, x = - \frac{5 504 - 4 y ^{2} - 9 z ^{2}}{6}

求解步骤

36 x^{2} + 100 y^{2} + 225 z^{2} = 12600

将

100 y^{2}

到右边

36 x^{2} + 225 z^{2} = 12600 - 100 y^{2}

将

225 z^{2}

到右边

36 x^{2} = 12600 - 100 y^{2} - 225 z^{2}

两边除以

36

x^{2} = \frac{12600 - 100 y ^{2} - 225 z ^{2}}{36}

对于

x^{2} = f (a)

解为

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

x = \frac{12600 - 100 y ^{2} - 225 z ^{2}}{36}, x = - \frac{12600 - 100 y ^{2} - 225 z ^{2}}{36}

化简

\frac{12600 - 100 y ^{2} - 225 z ^{2}}{36} : \frac{5 504 - 4 y ^{2} - 9 z ^{2}}{6}

化简

- \frac{12600 - 100 y ^{2} - 225 z ^{2}}{36} : - \frac{5 504 - 4 y ^{2} - 9 z ^{2}}{6}

x = \frac{5 504 - 4 y ^{2} - 9 z ^{2}}{6}, x = - \frac{5 504 - 4 y ^{2} - 9 z ^{2}}{6}

作图

流行的例子

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