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受欢迎的代数 >

x/2 (3x-5)= 1/2-3x

解答

\frac{x}{2} (3 x - 5) = \frac{1}{2} - 3 x

解答

x = \frac{- 1 + 13}{6}, x = \frac{- 1 - 13}{6}

+1

十进制

x = 0.43425 \dots, x = - 0.76759 \dots

求解步骤

\frac{x}{2} (3 x - 5) = \frac{1}{2} - 3 x

在两边乘以

2

x (3 x - 5) = 1 - 6 x

展开

x (3 x - 5) : 3 x^{2} - 5 x

3 x^{2} - 5 x = 1 - 6 x

将

6 x

para o lado esquerdo

3 x^{2} + x = 1

将

1

para o lado esquerdo

3 x^{2} + x - 1 = 0

使用求根公式求解

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

1^{2} - 4 \cdot 3 (- 1) = 13

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

将解分隔开

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

x = \frac{- 1 + 13}{2 \cdot 3} : \frac{- 1 + 13}{6}

x = \frac{- 1 - 13}{2 \cdot 3} : \frac{- 1 - 13}{6}

二次方程组的解是:

x = \frac{- 1 + 13}{6}, x = \frac{- 1 - 13}{6}

作图

流行的例子

a^1+2a^2=-1,-3a^1+4a^2=k,2a^1-a^2=-7

a^{1} + 2 a^{2} = - 1, - 3 a^{1} + 4 a^{2} = k, 2 a^{1} - a^{2} = - 7

6 n^{2} - 18 n - 12 = 0

36.12+2.2^2=c^2

36.12 + 2. 2^{2} = c^{2}

(2 x - 1) (x + 6) = 0

completesquare x^2-12x+11

co m pl e t es q u a re x^{2} - 12 x + 11