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受欢迎的代数 >

2x+2=12-x^2

解答

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

解答

x = - 1 - 11, x = 11 - 1

+1

十进制

x = - 4.31662 \dots, x = 2.31662 \dots

求解步骤

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

交换两边

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

将

2

para o lado esquerdo

- x^{2} + 10 = 2 x

将

2 x

para o lado esquerdo

- x^{2} + 10 - 2 x = 0

改写成标准形式

a x^{2} + b x + c = 0

- x^{2} - 2 x + 10 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 ( - 1 ) \cdot 10}{2 ( - 1 )}

(- 2)^{2} - 4 (- 1) \cdot 10 = 211

x_{1, 2} = \frac{- ( - 2 ) \pm 2 11}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 11}{2 ( - 1 )}, x_{2} = \frac{- ( - 2 ) - 2 11}{2 ( - 1 )}

x = \frac{- ( - 2 ) + 2 11}{2 ( - 1 )} : - 1 - 11

x = \frac{- ( - 2 ) - 2 11}{2 ( - 1 )} : 11 - 1

二次方程组的解是:

x = - 1 - 11, x = 11 - 1

作图

流行的例子

- x^{2} + 16 = 0

化简 7/12+5/8

s im pl i f y \frac{7}{12} + \frac{5}{8}

5 x - 2 = 13

x - 6 = - 3 x + 22

3(x/2-9)<=-x-18

3 (\frac{x}{2} - 9) \leq - x - 18