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受欢迎的代数 >

8000=3x^2+2x+400

解答

8000 = 3 x^{2} + 2 x + 400

解答

x = 50, x = - \frac{152}{3}

+1

十进制

x = 50, x = - 50.66666 \dots

求解步骤

8000 = 3 x^{2} + 2 x + 400

交换两边

3 x^{2} + 2 x + 400 = 8000

将

8000

para o lado esquerdo

3 x^{2} + 2 x - 7600 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 3 ( - 7600 )}{2 \cdot 3}

2^{2} - 4 \cdot 3 (- 7600) = 302

x_{1, 2} = \frac{- 2 \pm 302}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 2 + 302}{2 \cdot 3}, x_{2} = \frac{- 2 - 302}{2 \cdot 3}

x = \frac{- 2 + 302}{2 \cdot 3} : 50

x = \frac{- 2 - 302}{2 \cdot 3} : - \frac{152}{3}

二次方程组的解是:

x = 50, x = - \frac{152}{3}

作图

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