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受欢迎的代数 >

3x^2-60x+279=0

解答

3 x^{2} - 60 x + 279 = 0

解答

x = 10 + 7, x = 10 - 7

+1

十进制

x = 12.64575 \dots, x = 7.35424 \dots

求解步骤

3 x^{2} - 60 x + 279 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 3 \cdot 279}{2 \cdot 3}

(- 60)^{2} - 4 \cdot 3 \cdot 279 = 67

x_{1, 2} = \frac{- ( - 60 ) \pm 6 7}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 60 ) + 6 7}{2 \cdot 3}, x_{2} = \frac{- ( - 60 ) - 6 7}{2 \cdot 3}

x = \frac{- ( - 60 ) + 6 7}{2 \cdot 3} : 10 + 7

x = \frac{- ( - 60 ) - 6 7}{2 \cdot 3} : 10 - 7

二次方程组的解是:

x = 10 + 7, x = 10 - 7

作图

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