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受欢迎的代数 >

(x-3)^2=x(5-x)

解答

(x - 3)^{2} = x (5 - x)

解答

x = \frac{9}{2}, x = 1

+1

十进制

x = 4.5, x = 1

求解步骤

(x - 3)^{2} = x (5 - x)

展开

(x - 3)^{2} : x^{2} - 6 x + 9

展开

x (5 - x) : 5 x - x^{2}

x^{2} - 6 x + 9 = 5 x - x^{2}

将

x^{2}

para o lado esquerdo

2 x^{2} - 6 x + 9 = 5 x

将

5 x

para o lado esquerdo

2 x^{2} - 11 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 2 \cdot 9}{2 \cdot 2}

(- 11)^{2} - 4 \cdot 2 \cdot 9 = 7

x_{1, 2} = \frac{- ( - 11 ) \pm 7}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 7}{2 \cdot 2}, x_{2} = \frac{- ( - 11 ) - 7}{2 \cdot 2}

x = \frac{- ( - 11 ) + 7}{2 \cdot 2} : \frac{9}{2}

x = \frac{- ( - 11 ) - 7}{2 \cdot 2} : 1

二次方程组的解是:

x = \frac{9}{2}, x = 1

作图

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