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受欢迎的代数 >

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

解答

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

解答

x = \frac{- 5 + 161}{4}, x = \frac{- 5 - 161}{4}

+1

十进制

x = 1.92214 \dots, x = - 4.42214 \dots

求解步骤

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

展开

(x + 5) (2 x - 3) : 2 x^{2} + 7 x - 15

展开

2 (x + 1) : 2 x + 2

2 x^{2} + 7 x - 15 = 2 x + 2

将

2

para o lado esquerdo

2 x^{2} + 7 x - 17 = 2 x

将

2 x

para o lado esquerdo

2 x^{2} + 5 x - 17 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 2 ( - 17 )}{2 \cdot 2}

5^{2} - 4 \cdot 2 (- 17) = 161

x_{1, 2} = \frac{- 5 \pm 161}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 5 + 161}{2 \cdot 2}, x_{2} = \frac{- 5 - 161}{2 \cdot 2}

x = \frac{- 5 + 161}{2 \cdot 2} : \frac{- 5 + 161}{4}

x = \frac{- 5 - 161}{2 \cdot 2} : \frac{- 5 - 161}{4}

二次方程组的解是:

x = \frac{- 5 + 161}{4}, x = \frac{- 5 - 161}{4}

作图

流行的例子

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

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

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