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受欢迎的代数 >

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

解答

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

解答

x = - 4 + 52, x = - 4 - 52

+1

十进制

x = 3.07106 \dots, x = - 11.07106 \dots

求解步骤

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

在两边乘以

2

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

展开

- 10 (x - 3) + 4 : - 10 x + 34

展开

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

- 10 x + 34 = x^{2} - 2 x

交换两边

x^{2} - 2 x = - 10 x + 34

将

34

para o lado esquerdo

x^{2} - 2 x - 34 = - 10 x

将

10 x

para o lado esquerdo

x^{2} + 8 x - 34 = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot ( - 34 )}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot (- 34) = 102

x_{1, 2} = \frac{- 8 \pm 10 2}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 8 + 10 2}{2 \cdot 1}, x_{2} = \frac{- 8 - 10 2}{2 \cdot 1}

x = \frac{- 8 + 10 2}{2 \cdot 1} : - 4 + 52

x = \frac{- 8 - 10 2}{2 \cdot 1} : - 4 - 52

二次方程组的解是:

x = - 4 + 52, x = - 4 - 52

作图

流行的例子

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

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

x^{2} + 9 x + 17 = 0

solvefor x,x^2+y^2-2x-6y+f=0

so l v e f or x, x^{2} + y^{2} - 2 x - 6 y + f = 0

2 m^{2} - 5 m = 0