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受欢迎的代数 >

3x(2x+5)-6(3-x)(x-1)=14x(x-1)

解答

3 x (2 x + 5) - 6 (3 - x) (x - 1) = 14 x (x - 1)

解答

x = - 2, x = \frac{9}{2}

+1

十进制

x = - 2, x = 4.5

求解步骤

3 x (2 x + 5) - 6 (3 - x) (x - 1) = 14 x (x - 1)

展开

3 x (2 x + 5) - 6 (3 - x) (x - 1) : 12 x^{2} - 9 x + 18

展开

14 x (x - 1) : 14 x^{2} - 14 x

12 x^{2} - 9 x + 18 = 14 x^{2} - 14 x

将

14 x

para o lado esquerdo

12 x^{2} + 5 x + 18 = 14 x^{2}

将

14 x^{2}

para o lado esquerdo

- 2 x^{2} + 5 x + 18 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 2 ) \cdot 18}{2 ( - 2 )}

5^{2} - 4 (- 2) \cdot 18 = 13

x_{1, 2} = \frac{- 5 \pm 13}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 5 + 13}{2 ( - 2 )}, x_{2} = \frac{- 5 - 13}{2 ( - 2 )}

x = \frac{- 5 + 13}{2 ( - 2 )} : - 2

x = \frac{- 5 - 13}{2 ( - 2 )} : \frac{9}{2}

二次方程组的解是:

x = - 2, x = \frac{9}{2}

作图

流行的例子

completesquare 3+x=x^2+3x

co m pl e t es q u a re 3 + x = x^{2} + 3 x

- 4 x^{2} + 2 x - 3 = 0

solvefor y,x^2-4xy+4y^2+x-12y-10=0

so l v e f or y, x^{2} - 4 x y + 4 y^{2} + x - 12 y - 10 = 0

x (x + 2) = 4

x^{2} - 6 = - 2 x