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受欢迎的代数 >

x^2+(1+x)^2=-((x-1))/2

解答

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

解答

x = - \frac{1}{4}, x = - 1

+1

十进制

x = - 0.25, x = - 1

求解步骤

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

在两边乘以

2

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

展开

2 x^{2} + 2 (1 + x)^{2} : 4 x^{2} + 4 x + 2

展开

- (x - 1) : - x + 1

4 x^{2} + 4 x + 2 = - x + 1

将

1

para o lado esquerdo

4 x^{2} + 4 x + 1 = - x

将

x

para o lado esquerdo

4 x^{2} + 5 x + 1 = 0

使用求根公式求解

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

5^{2} - 4 \cdot 4 \cdot 1 = 3

x_{1, 2} = \frac{- 5 \pm 3}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 5 + 3}{2 \cdot 4}, x_{2} = \frac{- 5 - 3}{2 \cdot 4}

x = \frac{- 5 + 3}{2 \cdot 4} : - \frac{1}{4}

x = \frac{- 5 - 3}{2 \cdot 4} : - 1

二次方程组的解是:

x = - \frac{1}{4}, x = - 1

作图

流行的例子

(z - 1)^{2} = 0

3 x^{2} + 2 x + 6 = 0

x^{2} - 3 x - 550 = 0

solvefor x,3x^2+3y^2=0

so l v e f or x, 3 x^{2} + 3 y^{2} = 0

solvefor x,2x^2-5x-3=0

so l v e f or x, 2 x^{2} - 5 x - 3 = 0