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受欢迎的代数 >

(3x-2)(x+1)=8x-3

解答

(3 x - 2) (x + 1) = 8 x - 3

解答

x = \frac{7 + 37}{6}, x = \frac{7 - 37}{6}

+1

十进制

x = 2.18046 \dots, x = 0.15287 \dots

求解步骤

(3 x - 2) (x + 1) = 8 x - 3

展开

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

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

将

3

para o lado esquerdo

3 x^{2} + x + 1 = 8 x

将

8 x

para o lado esquerdo

3 x^{2} - 7 x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 \cdot 1}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 \cdot 1 = 37

x_{1, 2} = \frac{- ( - 7 ) \pm 37}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 37}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 37}{2 \cdot 3}

x = \frac{- ( - 7 ) + 37}{2 \cdot 3} : \frac{7 + 37}{6}

x = \frac{- ( - 7 ) - 37}{2 \cdot 3} : \frac{7 - 37}{6}

二次方程组的解是:

x = \frac{7 + 37}{6}, x = \frac{7 - 37}{6}

作图

流行的例子

completesquare 3x^2+5x-28=0

co m pl e t es q u a re 3 x^{2} + 5 x - 28 = 0

(1+5x)^2=(4x-1)2^2+9x(x-2)

(1 + 5 x)^{2} = (4 x - 1) 2^{2} + 9 x (x - 2)

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

solvefor x,y=3x^2-30x+72

so l v e f or x, y = 3 x^{2} - 30 x + 72

- 2 x^{2} + 2 x + 13 = 0