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受欢迎的代数 >

-2x(x-1)=x^2-5x

解答

- 2 x (x - 1) = x^{2} - 5 x

解答

x = 0, x = \frac{7}{3}

+1

十进制

x = 0, x = 2.33333 \dots

求解步骤

- 2 x (x - 1) = x^{2} - 5 x

展开

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

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

将

5 x

para o lado esquerdo

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

将

x^{2}

para o lado esquerdo

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

使用求根公式求解

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 ( - 3 ) \cdot 0}{2 ( - 3 )}

7^{2} - 4 (- 3) \cdot 0 = 7

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

将解分隔开

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

x = \frac{- 7 + 7}{2 ( - 3 )} : 0

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

二次方程组的解是:

x = 0, x = \frac{7}{3}

作图

流行的例子

x^{2} + 96 = 0

x^{2} - 1 = x + 1

x = x^{2} - 4

2 x^{2} + 15 x + 25 = 0

n^{2} + 2 n - 11 = 0