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受欢迎的代数 >

x^2+6=8x

解答

x^{2} + 6 = 8 x

解答

x = 4 + 10, x = 4 - 10

+1

十进制

x = 7.16227 \dots, x = 0.83772 \dots

求解步骤

x^{2} + 6 = 8 x

将

8 x

para o lado esquerdo

x^{2} + 6 - 8 x = 0

改写成标准形式

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

x^{2} - 8 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot 6 = 210

x_{1, 2} = \frac{- ( - 8 ) \pm 2 10}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 2 10}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 10}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 10}{2 \cdot 1} : 4 + 10

x = \frac{- ( - 8 ) - 2 10}{2 \cdot 1} : 4 - 10

二次方程组的解是:

x = 4 + 10, x = 4 - 10

作图

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