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受欢迎的代数 >

4=3.095+(0.041x)+(-0.002x^2)

解答

4 = 3.095 + (0.041 x) + (- 0.002 x^{2})

解答

x = \frac{41}{4} - i \frac{5559}{4}, x = \frac{41}{4} + i \frac{5559}{4}

求解步骤

4 = 3.095 + (0.041 x) + (- 0.002 x^{2})

在两边乘以

1000

4000 = 3095 + 41 x - 2 x^{2}

交换两边

3095 + 41 x - 2 x^{2} = 4000

将

4000

para o lado esquerdo

- 2 x^{2} + 41 x - 905 = 0

使用求根公式求解

x_{1, 2} = \frac{- 41 \pm 4 1 ^{2} - 4 ( - 2 ) ( - 905 )}{2 ( - 2 )}

化简

4 1^{2} - 4 (- 2) (- 905) : 5559 i

x_{1, 2} = \frac{- 41 \pm 5559 i}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 41 + 5559 i}{2 ( - 2 )}, x_{2} = \frac{- 41 - 5559 i}{2 ( - 2 )}

x = \frac{- 41 + 5559 i}{2 ( - 2 )} : \frac{41}{4} - i \frac{5559}{4}

x = \frac{- 41 - 5559 i}{2 ( - 2 )} : \frac{41}{4} + i \frac{5559}{4}

二次方程组的解是:

x = \frac{41}{4} - i \frac{5559}{4}, x = \frac{41}{4} + i \frac{5559}{4}

作图

流行的例子

因式分解 56x^2+31x+3

f a c t or 56 x^{2} + 31 x + 3

2 x + 12 = - 20

化简 ln(1/(e^7))

s im pl i f y ln (\frac{1}{e ^{7}})

x = x - 2

- 11 + b = - 23