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受欢迎的代数 >

solvefor x,x^2-2y-z^2+x^2yz^2=20

解答

求解

x, x^{2} - 2 y - z^{2} + x^{2} y z^{2} = 20

解答

x = \frac{20 + 2 y + z ^{2}}{1 + y z ^{2}}, x = - \frac{20 + 2 y + z ^{2}}{1 + y z ^{2}}; y \neq = - \frac{1}{z ^{2}}

求解步骤

x^{2} - 2 y - z^{2} + x^{2} y z^{2} = 20

将

2 y

到右边

x^{2} - z^{2} + x^{2} y z^{2} = 20 + 2 y

将

z^{2}

到右边

x^{2} + x^{2} y z^{2} = 20 + 2 y + z^{2}

分解

x^{2} + x^{2} y z^{2} : x^{2} (1 + y z^{2})

x^{2} (1 + y z^{2}) = 20 + 2 y + z^{2}

两边除以

1 + y z^{2}; y \neq = - \frac{1}{z ^{2}}

x^{2} = \frac{20 + 2 y + z ^{2}}{1 + y z ^{2}}; y \neq = - \frac{1}{z ^{2}}

对于

x^{2} = f (a)

解为

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

x = \frac{20 + 2 y + z ^{2}}{1 + y z ^{2}}, x = - \frac{20 + 2 y + z ^{2}}{1 + y z ^{2}}; y \neq = - \frac{1}{z ^{2}}

作图

流行的例子

2 x^{2} - 8 x + 12 = 0

6 x^{2} - 78 x + 180 = 0

x^{2} - 7 = 42

4 x = x^{2} + 7

2 + y^{2} = 4