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受欢迎的代数 >

11x^2=7-2x

解答

11 x^{2} = 7 - 2 x

解答

x = \frac{- 1 + 78}{11}, x = - \frac{1 + 78}{11}

+1

十进制

x = 0.71197 \dots, x = - 0.89379 \dots

求解步骤

11 x^{2} = 7 - 2 x

将

2 x

para o lado esquerdo

11 x^{2} + 2 x = 7

将

7

para o lado esquerdo

11 x^{2} + 2 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 11 ( - 7 )}{2 \cdot 11}

2^{2} - 4 \cdot 11 (- 7) = 278

x_{1, 2} = \frac{- 2 \pm 2 78}{2 \cdot 11}

将解分隔开

x_{1} = \frac{- 2 + 2 78}{2 \cdot 11}, x_{2} = \frac{- 2 - 2 78}{2 \cdot 11}

x = \frac{- 2 + 2 78}{2 \cdot 11} : \frac{- 1 + 78}{11}

x = \frac{- 2 - 2 78}{2 \cdot 11} : - \frac{1 + 78}{11}

二次方程组的解是:

x = \frac{- 1 + 78}{11}, x = - \frac{1 + 78}{11}

作图

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