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受欢迎的代数 >

24x^2-280x+600=0

解答

24 x^{2} - 280 x + 600 = 0

解答

x = \frac{5 ( 7 + 13 )}{6}, x = \frac{5 ( 7 - 13 )}{6}

+1

十进制

x = 8.83795 \dots, x = 2.82870 \dots

求解步骤

24 x^{2} - 280 x + 600 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 280 ) \pm ( - 280 ) ^{2} - 4 \cdot 24 \cdot 600}{2 \cdot 24}

(- 280)^{2} - 4 \cdot 24 \cdot 600 = 4013

x_{1, 2} = \frac{- ( - 280 ) \pm 40 13}{2 \cdot 24}

将解分隔开

x_{1} = \frac{- ( - 280 ) + 40 13}{2 \cdot 24}, x_{2} = \frac{- ( - 280 ) - 40 13}{2 \cdot 24}

x = \frac{- ( - 280 ) + 40 13}{2 \cdot 24} : \frac{5 ( 7 + 13 )}{6}

x = \frac{- ( - 280 ) - 40 13}{2 \cdot 24} : \frac{5 ( 7 - 13 )}{6}

二次方程组的解是:

x = \frac{5 ( 7 + 13 )}{6}, x = \frac{5 ( 7 - 13 )}{6}

作图

流行的例子

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co m pl e t es q u a re 6 + 4 x - x^{2}

\frac{x ^{2}}{3} = 27

2 (4 x)^{2} = 128

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