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受欢迎的代数 >

12x^2-128x+240=0

解答

12 x^{2} - 128 x + 240 = 0

解答

x = \frac{2 ( 8 + 19 )}{3}, x = \frac{2 ( 8 - 19 )}{3}

+1

十进制

x = 8.23926 \dots, x = 2.42740 \dots

求解步骤

12 x^{2} - 128 x + 240 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 128 ) \pm ( - 128 ) ^{2} - 4 \cdot 12 \cdot 240}{2 \cdot 12}

(- 128)^{2} - 4 \cdot 12 \cdot 240 = 1619

x_{1, 2} = \frac{- ( - 128 ) \pm 16 19}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- ( - 128 ) + 16 19}{2 \cdot 12}, x_{2} = \frac{- ( - 128 ) - 16 19}{2 \cdot 12}

x = \frac{- ( - 128 ) + 16 19}{2 \cdot 12} : \frac{2 ( 8 + 19 )}{3}

x = \frac{- ( - 128 ) - 16 19}{2 \cdot 12} : \frac{2 ( 8 - 19 )}{3}

二次方程组的解是:

x = \frac{2 ( 8 + 19 )}{3}, x = \frac{2 ( 8 - 19 )}{3}

作图

流行的例子

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