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受欢迎的代数 >

6x^2-30x+24=0

解答

6 x^{2} - 30 x + 24 = 0

解答

x = 4, x = 1

求解步骤

6 x^{2} - 30 x + 24 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 6 \cdot 24}{2 \cdot 6}

(- 30)^{2} - 4 \cdot 6 \cdot 24 = 18

x_{1, 2} = \frac{- ( - 30 ) \pm 18}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 30 ) + 18}{2 \cdot 6}, x_{2} = \frac{- ( - 30 ) - 18}{2 \cdot 6}

x = \frac{- ( - 30 ) + 18}{2 \cdot 6} : 4

x = \frac{- ( - 30 ) - 18}{2 \cdot 6} : 1

二次方程组的解是:

x = 4, x = 1

作图

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