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受欢迎的代数 >

-x^2=1-(3x(x-1))/2

解答

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

解答

x = - \frac{- 3 + 17}{2}, x = \frac{3 + 17}{2}

+1

十进制

x = - 0.56155 \dots, x = 3.56155 \dots

求解步骤

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

在两边乘以

2

- 2 x^{2} = 2 - 3 x (x - 1)

展开

2 - 3 x (x - 1) : 2 - 3 x^{2} + 3 x

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

交换两边

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

将

2 x^{2}

para o lado esquerdo

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

使用求根公式求解

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

3^{2} - 4 (- 1) \cdot 2 = 17

x_{1, 2} = \frac{- 3 \pm 17}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 3 + 17}{2 ( - 1 )}, x_{2} = \frac{- 3 - 17}{2 ( - 1 )}

x = \frac{- 3 + 17}{2 ( - 1 )} : - \frac{- 3 + 17}{2}

x = \frac{- 3 - 17}{2 ( - 1 )} : \frac{3 + 17}{2}

二次方程组的解是:

x = - \frac{- 3 + 17}{2}, x = \frac{3 + 17}{2}

作图

流行的例子

b^{2} - 6 = 5 an

x^{2} + 16 x = - 44

x^{2} + 16 x = - 51

3 x^{2} + 20 x + 32 = 0

3(u-7)^2-10=215

3 (u - 7)^{2} - 10 = 215