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受欢迎的代数 >

x^2-4x-27=0

解答

x^{2} - 4 x - 27 = 0

解答

x = 2 + 31, x = 2 - 31

+1

十进制

x = 7.56776 \dots, x = - 3.56776 \dots

求解步骤

x^{2} - 4 x - 27 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot ( - 27 )}{2 \cdot 1}

(- 4)^{2} - 4 \cdot 1 \cdot (- 27) = 231

x_{1, 2} = \frac{- ( - 4 ) \pm 2 31}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 31}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 2 31}{2 \cdot 1}

x = \frac{- ( - 4 ) + 2 31}{2 \cdot 1} : 2 + 31

x = \frac{- ( - 4 ) - 2 31}{2 \cdot 1} : 2 - 31

二次方程组的解是:

x = 2 + 31, x = 2 - 31

作图

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