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受欢迎的代数 >

-8x^2-6=-x^2+2x+1

解答

- 8 x^{2} - 6 = - x^{2} + 2 x + 1

解答

x = - \frac{1}{7} + i \frac{4 3}{7}, x = - \frac{1}{7} - i \frac{4 3}{7}

求解步骤

- 8 x^{2} - 6 = - x^{2} + 2 x + 1

交换两边

- x^{2} + 2 x + 1 = - 8 x^{2} - 6

将

6

para o lado esquerdo

- x^{2} + 2 x + 7 = - 8 x^{2}

将

8 x^{2}

para o lado esquerdo

7 x^{2} + 2 x + 7 = 0

使用求根公式求解

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

化简

2^{2} - 4 \cdot 7 \cdot 7 : 83 i

x_{1, 2} = \frac{- 2 \pm 8 3 i}{2 \cdot 7}

将解分隔开

x_{1} = \frac{- 2 + 8 3 i}{2 \cdot 7}, x_{2} = \frac{- 2 - 8 3 i}{2 \cdot 7}

x = \frac{- 2 + 8 3 i}{2 \cdot 7} : - \frac{1}{7} + i \frac{4 3}{7}

x = \frac{- 2 - 8 3 i}{2 \cdot 7} : - \frac{1}{7} - i \frac{4 3}{7}

二次方程组的解是:

x = - \frac{1}{7} + i \frac{4 3}{7}, x = - \frac{1}{7} - i \frac{4 3}{7}

作图

流行的例子

1.3 x^{2} - 4 x = 3.5

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

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

x^{2} - 8 x + 16 = - 12

solvefor x,f(x+2)=x^2-3x+2

so l v e f or x, f (x + 2) = x^{2} - 3 x + 2

(k+1)x^2-(k-1)x-(k+2)=0

(k + 1) x^{2} - (k - 1) x - (k + 2) = 0