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受欢迎的代数 >

(18-x)^2+(5-x)^2=81

解答

(18 - x)^{2} + (5 - x)^{2} = 81

解答

x = \frac{23}{2} + i \frac{7}{2}, x = \frac{23}{2} - i \frac{7}{2}

求解步骤

(18 - x)^{2} + (5 - x)^{2} = 81

展开

(18 - x)^{2} + (5 - x)^{2} : 2 x^{2} - 46 x + 349

2 x^{2} - 46 x + 349 = 81

将

81

para o lado esquerdo

2 x^{2} - 46 x + 268 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 46 ) \pm ( - 46 ) ^{2} - 4 \cdot 2 \cdot 268}{2 \cdot 2}

化简

(- 46)^{2} - 4 \cdot 2 \cdot 268 : 27 i

x_{1, 2} = \frac{- ( - 46 ) \pm 2 7 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 46 ) + 2 7 i}{2 \cdot 2}, x_{2} = \frac{- ( - 46 ) - 2 7 i}{2 \cdot 2}

x = \frac{- ( - 46 ) + 2 7 i}{2 \cdot 2} : \frac{23}{2} + i \frac{7}{2}

x = \frac{- ( - 46 ) - 2 7 i}{2 \cdot 2} : \frac{23}{2} - i \frac{7}{2}

二次方程组的解是:

x = \frac{23}{2} + i \frac{7}{2}, x = \frac{23}{2} - i \frac{7}{2}

作图

流行的例子

m^{2} + 3 = 51

solvefor x,f={x^2}

so l v e f or x, f = {x^{2}}

x^{2} + 14 x = - 46

4 y - y^{2} = \frac{y}{2}

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