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受欢迎的代数 >

6x-5x^2=8

解答

6 x - 5 x^{2} = 8

解答

x = \frac{3}{5} - i \frac{31}{5}, x = \frac{3}{5} + i \frac{31}{5}

求解步骤

6 x - 5 x^{2} = 8

将

8

para o lado esquerdo

6 x - 5 x^{2} - 8 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 5 x^{2} + 6 x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 5 ) ( - 8 )}{2 ( - 5 )}

化简

6^{2} - 4 (- 5) (- 8) : 231 i

x_{1, 2} = \frac{- 6 \pm 2 31 i}{2 ( - 5 )}

将解分隔开

x_{1} = \frac{- 6 + 2 31 i}{2 ( - 5 )}, x_{2} = \frac{- 6 - 2 31 i}{2 ( - 5 )}

x = \frac{- 6 + 2 31 i}{2 ( - 5 )} : \frac{3}{5} - i \frac{31}{5}

x = \frac{- 6 - 2 31 i}{2 ( - 5 )} : \frac{3}{5} + i \frac{31}{5}

二次方程组的解是:

x = \frac{3}{5} - i \frac{31}{5}, x = \frac{3}{5} + i \frac{31}{5}

作图

流行的例子

m^{2} = m + 2

2 x (x + 5) = 3 (x - 1)

x^{2} - 4 = 2 x - 1

completesquare 4x^2+24x-4=0

co m pl e t es q u a re 4 x^{2} + 24 x - 4 = 0

x + 1 = x (x - 2)