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受欢迎的代数 >

-3x(x-1)+8(x-3)=6x+7-5x

解答

- 3 x (x - 1) + 8 (x - 3) = 6 x + 7 - 5 x

解答

x = \frac{5}{3} - i \frac{2 17}{3}, x = \frac{5}{3} + i \frac{2 17}{3}

求解步骤

- 3 x (x - 1) + 8 (x - 3) = 6 x + 7 - 5 x

展开

- 3 x (x - 1) + 8 (x - 3) : - 3 x^{2} + 11 x - 24

- 3 x^{2} + 11 x - 24 = x + 7

将

7

para o lado esquerdo

- 3 x^{2} + 11 x - 31 = x

将

x

para o lado esquerdo

- 3 x^{2} + 10 x - 31 = 0

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 ( - 3 ) ( - 31 )}{2 ( - 3 )}

化简

1 0^{2} - 4 (- 3) (- 31) : 417 i

x_{1, 2} = \frac{- 10 \pm 4 17 i}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- 10 + 4 17 i}{2 ( - 3 )}, x_{2} = \frac{- 10 - 4 17 i}{2 ( - 3 )}

x = \frac{- 10 + 4 17 i}{2 ( - 3 )} : \frac{5}{3} - i \frac{2 17}{3}

x = \frac{- 10 - 4 17 i}{2 ( - 3 )} : \frac{5}{3} + i \frac{2 17}{3}

二次方程组的解是:

x = \frac{5}{3} - i \frac{2 17}{3}, x = \frac{5}{3} + i \frac{2 17}{3}

作图

流行的例子

因式分解 8a^3+27

f a c t or 8 a^{3} + 27

(c-26)(c+6)=-192

(c - 26) (c + 6) = - 192

(3x)/8-x/2 =-3/2

\frac{3 x}{8} - \frac{x}{2} = - \frac{3}{2}

因式分解 12x^2-75y^2

f a c t or 12 x^{2} - 75 y^{2}

h^{2} = 0.36