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受欢迎的代数 >

solvefor x,x^2+y^2+z^2-4x=0

解答

求解

x, x^{2} + y^{2} + z^{2} - 4 x = 0

解答

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

求解步骤

x^{2} + y^{2} + z^{2} - 4 x = 0

改写成标准形式

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

x^{2} - 4 x + y^{2} + z^{2} = 0

使用求根公式求解

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

化简

(- 4)^{2} - 4 \cdot 1 \cdot (y^{2} + z^{2}) : 2 4 - y^{2} - z^{2}

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

将解分隔开

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

x = \frac{- ( - 4 ) + 2 4 - y ^{2} - z ^{2}}{2 \cdot 1} : 2 + 4 - y^{2} - z^{2}

x = \frac{- ( - 4 ) - 2 4 - y ^{2} - z ^{2}}{2 \cdot 1} : 2 - 4 - y^{2} - z^{2}

二次方程组的解是:

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

作图

流行的例子

(x + 4)^{2} = 5

z^{2} - 3 z = 0

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

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

(2 x - 1)^{2} = 225

6 x^{2} + 5 x = 2