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受欢迎的代数 >

3x^2-16x+18=0

解答

3 x^{2} - 16 x + 18 = 0

解答

x = \frac{8 + 10}{3}, x = \frac{8 - 10}{3}

+1

十进制

x = 3.72075 \dots, x = 1.61257 \dots

求解步骤

3 x^{2} - 16 x + 18 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 3 \cdot 18}{2 \cdot 3}

(- 16)^{2} - 4 \cdot 3 \cdot 18 = 210

x_{1, 2} = \frac{- ( - 16 ) \pm 2 10}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 2 10}{2 \cdot 3}, x_{2} = \frac{- ( - 16 ) - 2 10}{2 \cdot 3}

x = \frac{- ( - 16 ) + 2 10}{2 \cdot 3} : \frac{8 + 10}{3}

x = \frac{- ( - 16 ) - 2 10}{2 \cdot 3} : \frac{8 - 10}{3}

二次方程组的解是:

x = \frac{8 + 10}{3}, x = \frac{8 - 10}{3}

作图

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