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受欢迎的代数 >

11x^2-4x=1

解答

11 x^{2} - 4 x = 1

解答

x = \frac{2 + 15}{11}, x = \frac{2 - 15}{11}

+1

十进制

x = 0.53390 \dots, x = - 0.17027 \dots

求解步骤

11 x^{2} - 4 x = 1

将

1

para o lado esquerdo

11 x^{2} - 4 x - 1 = 0

使用求根公式求解

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

(- 4)^{2} - 4 \cdot 11 (- 1) = 215

x_{1, 2} = \frac{- ( - 4 ) \pm 2 15}{2 \cdot 11}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 15}{2 \cdot 11}, x_{2} = \frac{- ( - 4 ) - 2 15}{2 \cdot 11}

x = \frac{- ( - 4 ) + 2 15}{2 \cdot 11} : \frac{2 + 15}{11}

x = \frac{- ( - 4 ) - 2 15}{2 \cdot 11} : \frac{2 - 15}{11}

二次方程组的解是:

x = \frac{2 + 15}{11}, x = \frac{2 - 15}{11}

作图

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