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受欢迎的代数 >

solvefor x,f=3x^2yz-xy^2z^2

解答

求解

x, f = 3 x^{2} yz - x y^{2} z^{2}

解答

x = \frac{y ^{2} z ^{2} + y ^{4} z ^{4} + 12 yz f}{6 yz}, x = \frac{y ^{2} z ^{2} - y ^{4} z ^{4} + 12 yz f}{6 yz}; 3 yz \neq = 0

求解步骤

f = 3 x^{2} yz - x y^{2} z^{2}

交换两边

3 x^{2} yz - x y^{2} z^{2} = f

将

f

para o lado esquerdo

3 x^{2} yz - x y^{2} z^{2} - f = 0

改写成标准形式

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

3 yz x^{2} - y^{2} z^{2} x - f = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - y ^{2} z ^{2} ) \pm ( - y ^{2} z ^{2} ) ^{2} - 4 \cdot 3 yz ( - f )}{2 \cdot 3 yz}

化简

(- y^{2} z^{2})^{2} - 4 \cdot 3 yz (- f) : y^{4} z^{4} + 12 yz f

x_{1, 2} = \frac{- ( - y ^{2} z ^{2} ) \pm y ^{4} z ^{4} + 12 yz f}{2 \cdot 3 yz}; 3 yz \neq = 0

将解分隔开

x_{1} = \frac{- ( - y ^{2} z ^{2} ) + y ^{4} z ^{4} + 12 yz f}{2 \cdot 3 yz}, x_{2} = \frac{- ( - y ^{2} z ^{2} ) - y ^{4} z ^{4} + 12 yz f}{2 \cdot 3 yz}

x = \frac{- ( - y ^{2} z ^{2} ) + y ^{4} z ^{4} + 12 yz f}{2 \cdot 3 yz} : \frac{y ^{2} z ^{2} + y ^{4} z ^{4} + 12 yz f}{6 yz}

x = \frac{- ( - y ^{2} z ^{2} ) - y ^{4} z ^{4} + 12 yz f}{2 \cdot 3 yz} : \frac{y ^{2} z ^{2} - y ^{4} z ^{4} + 12 yz f}{6 yz}

二次方程组的解是:

x = \frac{y ^{2} z ^{2} + y ^{4} z ^{4} + 12 yz f}{6 yz}, x = \frac{y ^{2} z ^{2} - y ^{4} z ^{4} + 12 yz f}{6 yz}; 3 yz \neq = 0

作图

流行的例子

8 x^{2} = 12 - 4 x

completesquare s^2-2s+10

co m pl e t es q u a re s^{2} - 2 s + 10

solvefor x,5x^2-3xy+5y^2-27=0

so l v e f or x, 5 x^{2} - 3 x y + 5 y^{2} - 27 = 0

completesquare x^2-2x-48=0

co m pl e t es q u a re x^{2} - 2 x - 48 = 0

2 y - 3 y^{2} + 1 = 0