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受欢迎的代数 >

2x+7.43=-0.21x^2-0.84x+50

解答

2 x + 7.43 = - 0.21 x^{2} - 0.84 x + 50

解答

x = - \frac{473}{21}, x = 9

+1

十进制

x = - 22.52380 \dots, x = 9

求解步骤

2 x + 7.43 = - 0.21 x^{2} - 0.84 x + 50

在两边乘以

100

200 x + 743 = - 21 x^{2} - 84 x + 5000

交换两边

- 21 x^{2} - 84 x + 5000 = 200 x + 743

将

743

para o lado esquerdo

- 21 x^{2} - 84 x + 4257 = 200 x

将

200 x

para o lado esquerdo

- 21 x^{2} - 284 x + 4257 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 284 ) \pm ( - 284 ) ^{2} - 4 ( - 21 ) \cdot 4257}{2 ( - 21 )}

(- 284)^{2} - 4 (- 21) \cdot 4257 = 662

x_{1, 2} = \frac{- ( - 284 ) \pm 662}{2 ( - 21 )}

将解分隔开

x_{1} = \frac{- ( - 284 ) + 662}{2 ( - 21 )}, x_{2} = \frac{- ( - 284 ) - 662}{2 ( - 21 )}

x = \frac{- ( - 284 ) + 662}{2 ( - 21 )} : - \frac{473}{21}

x = \frac{- ( - 284 ) - 662}{2 ( - 21 )} : 9

二次方程组的解是:

x = - \frac{473}{21}, x = 9

作图

流行的例子

7 x^{2} = 3 - 5 x

n^{2} = 9 n

3 x^{2} + 30 = 0

9 x^{2} + 6 x + 10 = 0

v^{2} - 3 v - 4 = 0