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受欢迎的代数 >

0=210+205.06x-4.9x^2

解答

0 = 210 + 205.06 x - 4.9 x^{2}

解答

x = - \frac{- 20506 + 461656036}{980}, x = \frac{20506 + 461656036}{980}

+1

十进制

x = - 1.00018 \dots, x = 42.84916 \dots

求解步骤

0 = 210 + 205.06 x - 4.9 x^{2}

在两边乘以

100

0 = 21000 + 20506 x - 490 x^{2}

交换两边

21000 + 20506 x - 490 x^{2} = 0

改写成标准形式

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

- 490 x^{2} + 20506 x + 21000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 20506 \pm 2050 6 ^{2} - 4 ( - 490 ) \cdot 21000}{2 ( - 490 )}

2050 6^{2} - 4 (- 490) \cdot 21000 = 461656036

x_{1, 2} = \frac{- 20506 \pm 461656036}{2 ( - 490 )}

将解分隔开

x_{1} = \frac{- 20506 + 461656036}{2 ( - 490 )}, x_{2} = \frac{- 20506 - 461656036}{2 ( - 490 )}

x = \frac{- 20506 + 461656036}{2 ( - 490 )} : - \frac{- 20506 + 461656036}{980}

x = \frac{- 20506 - 461656036}{2 ( - 490 )} : \frac{20506 + 461656036}{980}

二次方程组的解是:

x = - \frac{- 20506 + 461656036}{980}, x = \frac{20506 + 461656036}{980}

作图

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