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受欢迎的代数 >

(4x-1)(2x+3)=(x+3)(x-1)

解答

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

解答

x = 0, x = - \frac{8}{7}

+1

十进制

x = 0, x = - 1.14285 \dots

求解步骤

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

展开

(4 x - 1) (2 x + 3) : 8 x^{2} + 10 x - 3

展开

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

8 x^{2} + 10 x - 3 = x^{2} + 2 x - 3

将

3

para o lado esquerdo

8 x^{2} + 10 x = x^{2} + 2 x

将

2 x

para o lado esquerdo

8 x^{2} + 8 x = x^{2}

将

x^{2}

para o lado esquerdo

7 x^{2} + 8 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 7 \cdot 0}{2 \cdot 7}

8^{2} - 4 \cdot 7 \cdot 0 = 8

x_{1, 2} = \frac{- 8 \pm 8}{2 \cdot 7}

将解分隔开

x_{1} = \frac{- 8 + 8}{2 \cdot 7}, x_{2} = \frac{- 8 - 8}{2 \cdot 7}

x = \frac{- 8 + 8}{2 \cdot 7} : 0

x = \frac{- 8 - 8}{2 \cdot 7} : - \frac{8}{7}

二次方程组的解是:

x = 0, x = - \frac{8}{7}

作图

流行的例子

(m + 8)^{2} = 72

(1-k)x^2-(k+1)x-2=0

(1 - k) x^{2} - (k + 1) x - 2 = 0

(x + 2) (x - 3) = 6

solvefor x,x^2y+xy^2=6

so l v e f or x, x^{2} y + x y^{2} = 6

4 x^{2} + 2 = 38