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受欢迎的代数 >

x^2-8x=9x-12

解答

x^{2} - 8 x = 9 x - 12

解答

x = \frac{17 + 241}{2}, x = \frac{17 - 241}{2}

+1

十进制

x = 16.26208 \dots, x = 0.73791 \dots

求解步骤

x^{2} - 8 x = 9 x - 12

将

12

para o lado esquerdo

x^{2} - 8 x + 12 = 9 x

将

9 x

para o lado esquerdo

x^{2} - 17 x + 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 1 \cdot 12}{2 \cdot 1}

(- 17)^{2} - 4 \cdot 1 \cdot 12 = 241

x_{1, 2} = \frac{- ( - 17 ) \pm 241}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 17 ) + 241}{2 \cdot 1}, x_{2} = \frac{- ( - 17 ) - 241}{2 \cdot 1}

x = \frac{- ( - 17 ) + 241}{2 \cdot 1} : \frac{17 + 241}{2}

x = \frac{- ( - 17 ) - 241}{2 \cdot 1} : \frac{17 - 241}{2}

二次方程组的解是:

x = \frac{17 + 241}{2}, x = \frac{17 - 241}{2}

作图

流行的例子

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4 x - 10 (- x - 1) = 6 (x - 2) 6 (x - 2)

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