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受欢迎的代数 >

solvefor x,2x^2+2y^2z^2-5yzx=0

解答

求解

x, 2 x^{2} + 2 y^{2} z^{2} - 5 yz x = 0

解答

x = 2 yz, x = \frac{yz}{2}

求解步骤

2 x^{2} + 2 y^{2} z^{2} - 5 yz x = 0

改写成标准形式

a x^{2} + b x + c = 0

2 x^{2} - 5 yz x + 2 y^{2} z^{2} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 yz ) \pm ( - 5 yz ) ^{2} - 4 \cdot 2 \cdot 2 y ^{2} z ^{2}}{2 \cdot 2}

化简

(- 5 yz)^{2} - 4 \cdot 2 \cdot 2 y^{2} z^{2} : 3 yz

x_{1, 2} = \frac{- ( - 5 yz ) \pm 3 yz}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 5 yz ) + 3 yz}{2 \cdot 2}, x_{2} = \frac{- ( - 5 yz ) - 3 yz}{2 \cdot 2}

x = \frac{- ( - 5 yz ) + 3 yz}{2 \cdot 2} : 2 yz

x = \frac{- ( - 5 yz ) - 3 yz}{2 \cdot 2} : \frac{yz}{2}

二次方程组的解是:

x = 2 yz, x = \frac{yz}{2}

作图

流行的例子

x^{2} + 4 x = 7 x + 4

a^{2} + 5 a + 25 = 0

2700=700+900x-100x^2

2700 = 700 + 900 x - 100 x^{2}

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6 0^{2} - 4 2^{2} = x^{2}