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受欢迎的代数 >

x^2-16=-2x-1-2x-1

解答

x^{2} - 16 = - 2 x - 1 - 2 x - 1

解答

x = - 2 + 32, x = - 2 - 32

+1

十进制

x = 2.24264 \dots, x = - 6.24264 \dots

求解步骤

x^{2} - 16 = - 2 x - 1 - 2 x - 1

整理后得

x^{2} - 16 = - 4 x - 2

将

2

para o lado esquerdo

x^{2} - 14 = - 4 x

将

4 x

para o lado esquerdo

x^{2} - 14 + 4 x = 0

改写成标准形式

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

x^{2} + 4 x - 14 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot ( - 14 )}{2 \cdot 1}

4^{2} - 4 \cdot 1 \cdot (- 14) = 62

x_{1, 2} = \frac{- 4 \pm 6 2}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 + 6 2}{2 \cdot 1}, x_{2} = \frac{- 4 - 6 2}{2 \cdot 1}

x = \frac{- 4 + 6 2}{2 \cdot 1} : - 2 + 32

x = \frac{- 4 - 6 2}{2 \cdot 1} : - 2 - 32

二次方程组的解是:

x = - 2 + 32, x = - 2 - 32

作图

流行的例子

5 x^{2} - 6 x = 3

(2 d + 3)^{2} = 36

- 3 x^{2} + 30 x + 72 = 0

- 5 x^{2} - 3 = 0

0=-1/500 (x-100)^2+20

0 = - \frac{1}{500} (x - 100)^{2} + 20