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受欢迎的代数 >

x^2-100x-400=0

解答

x^{2} - 100 x - 400 = 0

解答

x = 10 (5 + 29), x = 10 (5 - 29)

+1

十进制

x = 103.85164 \dots, x = - 3.85164 \dots

求解步骤

x^{2} - 100 x - 400 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 1 \cdot ( - 400 )}{2 \cdot 1}

(- 100)^{2} - 4 \cdot 1 \cdot (- 400) = 2029

x_{1, 2} = \frac{- ( - 100 ) \pm 20 29}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 100 ) + 20 29}{2 \cdot 1}, x_{2} = \frac{- ( - 100 ) - 20 29}{2 \cdot 1}

x = \frac{- ( - 100 ) + 20 29}{2 \cdot 1} : 10 (5 + 29)

x = \frac{- ( - 100 ) - 20 29}{2 \cdot 1} : 10 (5 - 29)

二次方程组的解是:

x = 10 (5 + 29), x = 10 (5 - 29)

作图

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