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受欢迎的代数 >

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

解答

求解

x, 4 x^{2} - (y - 3)^{2} + 4 z^{2} = 4

解答

x = \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{2}, x = - \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{2}

求解步骤

4 x^{2} - (y - 3)^{2} + 4 z^{2} = 4

将

(y - 3)^{2}

到右边

4 x^{2} + 4 z^{2} = 4 + (y - 3)^{2}

将

4 z^{2}

到右边

4 x^{2} = 4 + (y - 3)^{2} - 4 z^{2}

两边除以

4

x^{2} = \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{4}

对于

x^{2} = f (a)

解为

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

x = \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{4}, x = - \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{4}

化简

\frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{4} : \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{2}

化简

- \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{4} : - \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{2}

x = \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{2}, x = - \frac{y ^{2} - 6 y + 13 - 4 z ^{2}}{2}

作图

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