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受欢迎的代数 >

6x^2-534=36x

解答

6 x^{2} - 534 = 36 x

解答

x = 3 + 72, x = 3 - 72

+1

十进制

x = 12.89949 \dots, x = - 6.89949 \dots

求解步骤

6 x^{2} - 534 = 36 x

将

36 x

para o lado esquerdo

6 x^{2} - 534 - 36 x = 0

改写成标准形式

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

6 x^{2} - 36 x - 534 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 6 ( - 534 )}{2 \cdot 6}

(- 36)^{2} - 4 \cdot 6 (- 534) = 842

x_{1, 2} = \frac{- ( - 36 ) \pm 84 2}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 36 ) + 84 2}{2 \cdot 6}, x_{2} = \frac{- ( - 36 ) - 84 2}{2 \cdot 6}

x = \frac{- ( - 36 ) + 84 2}{2 \cdot 6} : 3 + 72

x = \frac{- ( - 36 ) - 84 2}{2 \cdot 6} : 3 - 72

二次方程组的解是:

x = 3 + 72, x = 3 - 72

作图

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