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受欢迎的代数 >

350-156x+12x^2=0

解答

350 - 156 x + 12 x^{2} = 0

解答

x = \frac{39 + 471}{6}, x = \frac{39 - 471}{6}

+1

十进制

x = 10.11708 \dots, x = 2.88291 \dots

求解步骤

350 - 156 x + 12 x^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

12 x^{2} - 156 x + 350 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 156 ) \pm ( - 156 ) ^{2} - 4 \cdot 12 \cdot 350}{2 \cdot 12}

(- 156)^{2} - 4 \cdot 12 \cdot 350 = 4471

x_{1, 2} = \frac{- ( - 156 ) \pm 4 471}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- ( - 156 ) + 4 471}{2 \cdot 12}, x_{2} = \frac{- ( - 156 ) - 4 471}{2 \cdot 12}

x = \frac{- ( - 156 ) + 4 471}{2 \cdot 12} : \frac{39 + 471}{6}

x = \frac{- ( - 156 ) - 4 471}{2 \cdot 12} : \frac{39 - 471}{6}

二次方程组的解是:

x = \frac{39 + 471}{6}, x = \frac{39 - 471}{6}

作图

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