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受欢迎的代数 >

-3x(x-1)=8(3+x)

解答

- 3 x (x - 1) = 8 (3 + x)

解答

x = - \frac{5}{6} - i \frac{263}{6}, x = - \frac{5}{6} + i \frac{263}{6}

求解步骤

- 3 x (x - 1) = 8 (3 + x)

展开

- 3 x (x - 1) : - 3 x^{2} + 3 x

展开

8 (3 + x) : 24 + 8 x

- 3 x^{2} + 3 x = 24 + 8 x

将

8 x

para o lado esquerdo

- 3 x^{2} - 5 x = 24

将

24

para o lado esquerdo

- 3 x^{2} - 5 x - 24 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 ( - 3 ) ( - 24 )}{2 ( - 3 )}

化简

(- 5)^{2} - 4 (- 3) (- 24) : 263 i

x_{1, 2} = \frac{- ( - 5 ) \pm 263 i}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 263 i}{2 ( - 3 )}, x_{2} = \frac{- ( - 5 ) - 263 i}{2 ( - 3 )}

x = \frac{- ( - 5 ) + 263 i}{2 ( - 3 )} : - \frac{5}{6} - i \frac{263}{6}

x = \frac{- ( - 5 ) - 263 i}{2 ( - 3 )} : - \frac{5}{6} + i \frac{263}{6}

二次方程组的解是:

x = - \frac{5}{6} - i \frac{263}{6}, x = - \frac{5}{6} + i \frac{263}{6}

作图

流行的例子

4.5x^2=2.5(x+0.5)^2

4.5 x^{2} = 2.5 (x + 0.5)^{2}

x^{2} + 27 = 12 x

solvefor x,x^2+xy-y^2=-5

so l v e f or x, x^{2} + x y - y^{2} = - 5

solvefor x,(x-5)(3x+2)=0

so l v e f or x, (x - 5) (3 x + 2) = 0

4 x^{2} - 2 x - 11 = 0