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受欢迎的代数 >

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

解答

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

解答

x = \frac{- 13 + 73}{6}, x = \frac{- 13 - 73}{6}

+1

十进制

x = - 0.74266 \dots, x = - 3.59066 \dots

求解步骤

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

展开

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

展开

(3 x + 2) (2 x + 4) : 6 x^{2} + 16 x + 8

3 x^{2} + 3 x = 6 x^{2} + 16 x + 8

交换两边

6 x^{2} + 16 x + 8 = 3 x^{2} + 3 x

将

3 x

para o lado esquerdo

6 x^{2} + 13 x + 8 = 3 x^{2}

将

3 x^{2}

para o lado esquerdo

3 x^{2} + 13 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 3 \cdot 8}{2 \cdot 3}

1 3^{2} - 4 \cdot 3 \cdot 8 = 73

x_{1, 2} = \frac{- 13 \pm 73}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 13 + 73}{2 \cdot 3}, x_{2} = \frac{- 13 - 73}{2 \cdot 3}

x = \frac{- 13 + 73}{2 \cdot 3} : \frac{- 13 + 73}{6}

x = \frac{- 13 - 73}{2 \cdot 3} : \frac{- 13 - 73}{6}

二次方程组的解是:

x = \frac{- 13 + 73}{6}, x = \frac{- 13 - 73}{6}

作图

流行的例子

(x + 8) (x + 4) = 5^{1}

6(x+1)=(4-x)(7+x)

6 (x + 1) = (4 - x) (7 + x)

0=12x^2-180x+464

0 = 12 x^{2} - 180 x + 464

solvefor x,f=x^2+y^2-z^2

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

5 x^{2} + 2 = - 4 x^{2}