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受欢迎的代数 >

3x^2-4.4x-6.9=0

解答

3 x^{2} - 4.4 x - 6.9 = 0

解答

x = \frac{22 + 2554}{30}, x = \frac{22 - 2554}{30}

+1

十进制

x = 2.41790 \dots, x = - 0.95123 \dots

求解步骤

3 x^{2} - 4.4 x - 6.9 = 0

在两边乘以

10

30 x^{2} - 44 x - 69 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 44 ) \pm ( - 44 ) ^{2} - 4 \cdot 30 ( - 69 )}{2 \cdot 30}

(- 44)^{2} - 4 \cdot 30 (- 69) = 22554

x_{1, 2} = \frac{- ( - 44 ) \pm 2 2554}{2 \cdot 30}

将解分隔开

x_{1} = \frac{- ( - 44 ) + 2 2554}{2 \cdot 30}, x_{2} = \frac{- ( - 44 ) - 2 2554}{2 \cdot 30}

x = \frac{- ( - 44 ) + 2 2554}{2 \cdot 30} : \frac{22 + 2554}{30}

x = \frac{- ( - 44 ) - 2 2554}{2 \cdot 30} : \frac{22 - 2554}{30}

二次方程组的解是:

x = \frac{22 + 2554}{30}, x = \frac{22 - 2554}{30}

作图

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2644.6 = 0.68 \cdot 2.14 \cdot 100 \cdot x \cdot (9.5 - 0.4 \cdot x)

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