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受欢迎的代数 >

solvefor x,-9x^2-9y^2+z^2+6z+18=0

解答

求解

x, - 9 x^{2} - 9 y^{2} + z^{2} + 6 z + 18 = 0

解答

x = \frac{i 9 y ^{2} - z ^{2} - 6 z - 18}{3}, x = - \frac{i 9 y ^{2} - z ^{2} - 6 z - 18}{3}

求解步骤

- 9 x^{2} - 9 y^{2} + z^{2} + 6 z + 18 = 0

将

9 y^{2}

到右边

- 9 x^{2} + z^{2} + 6 z + 18 = 9 y^{2}

将

z^{2}

到右边

- 9 x^{2} + 6 z + 18 = 9 y^{2} - z^{2}

将

6 z

到右边

- 9 x^{2} + 18 = 9 y^{2} - z^{2} - 6 z

将

18

到右边

- 9 x^{2} = 9 y^{2} - z^{2} - 6 z - 18

两边除以

- 9

x^{2} = - \frac{9 y ^{2} - z ^{2} - 6 z - 18}{9}

对于

x^{2} = f (a)

解为

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

x = - \frac{9 y ^{2} - z ^{2} - 6 z - 18}{9}, x = - - \frac{9 y ^{2} - z ^{2} - 6 z - 18}{9}

化简

- \frac{9 y ^{2} - z ^{2} - 6 z - 18}{9} : \frac{i 9 y ^{2} - z ^{2} - 6 z - 18}{3}

化简

- - \frac{9 y ^{2} - z ^{2} - 6 z - 18}{9} : - \frac{i 9 y ^{2} - z ^{2} - 6 z - 18}{3}

x = \frac{i 9 y ^{2} - z ^{2} - 6 z - 18}{3}, x = - \frac{i 9 y ^{2} - z ^{2} - 6 z - 18}{3}

作图

流行的例子

x^{2} = \frac{- 1}{- 9}

x^2-7/5 x+2/5 =0

x^{2} - \frac{7}{5} x + \frac{2}{5} = 0

- x^{2} - x - 6 = 9

0=-6+8x-5/2 x^2

0 = - 6 + 8 x - \frac{5}{2} x^{2}

x^{2} + 14 x = - 7