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受欢迎的代数 >

1.4=(-5*10^{-7})x^2+0.0018x+0.0593

解答

1.4 = (- 5 \cdot 1 0^{- 7}) x^{2} + 0.0018 x + 0.0593

解答

x = 1000000 (- - \frac{1.3407}{500000} + 0.00000324 + 0.0018), x = 1000000 (- \frac{1.3407}{500000} + 0.00000324 + 0.0018)

+1

十进制

x = 1052.60452 \dots, x = 2547.39547 \dots

求解步骤

1.4 = (- 5 \cdot 1 0^{- 7}) x^{2} + 0.0018 x + 0.0593

展开

(- 5 \cdot 1 0^{- 7}) x^{2} + 0.0018 x + 0.0593 : - \frac{1}{2000000} x^{2} + 0.0018 x + 0.0593

1.4 = - \frac{1}{2000000} x^{2} + 0.0018 x + 0.0593

交换两边

- \frac{1}{2000000} x^{2} + 0.0018 x + 0.0593 = 1.4

将

1.4

para o lado esquerdo

- \frac{1}{2000000} x^{2} + 0.0018 x - 1.3407 = 0

改写成标准形式

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

- \frac{x ^{2}}{2000000} + 0.0018 x - 1.3407 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0.0018 \pm 0.001 8 ^{2} - 4 ( - \frac{1}{2000000} ) ( - 1.3407 )}{2 ( - \frac{1}{2000000} )}

0.001 8^{2} - 4 (- \frac{1}{2000000}) (- 1.3407) = 0.00000324 - \frac{1.3407}{500000}

x_{1, 2} = \frac{- 0.0018 \pm 0.00000324 - \frac{1.3407}{500000}}{2 ( - \frac{1}{2000000} )}

将解分隔开

x_{1} = \frac{- 0.0018 + 0.00000324 - \frac{1.3407}{500000}}{2 ( - \frac{1}{2000000} )}, x_{2} = \frac{- 0.0018 - 0.00000324 - \frac{1.3407}{500000}}{2 ( - \frac{1}{2000000} )}

x = \frac{- 0.0018 + 0.00000324 - \frac{1.3407}{500000}}{2 ( - \frac{1}{2000000} )} : 1000000 (- - \frac{1.3407}{500000} + 0.00000324 + 0.0018)

x = \frac{- 0.0018 - 0.00000324 - \frac{1.3407}{500000}}{2 ( - \frac{1}{2000000} )} : 1000000 (- \frac{1.3407}{500000} + 0.00000324 + 0.0018)

二次方程组的解是:

x = 1000000 (- - \frac{1.3407}{500000} + 0.00000324 + 0.0018), x = 1000000 (- \frac{1.3407}{500000} + 0.00000324 + 0.0018)

作图

流行的例子

化简 (e^{-4x})^2

s im pl i f y (e^{- 4 x})^{2}

s im pl i f y \frac{9}{- 3}

化简 2/3 2^{3/2}

s im pl i f y \frac{2}{3} 2^{\frac{3}{2}}

4/5 x-1/10 = 3/10

\frac{4}{5} x - \frac{1}{10} = \frac{3}{10}

因式分解 y^2-5y+4

f a c t or y^{2} - 5 y + 4