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受欢迎的代数 >

4(((x-2x^2))/3+2)=2.5

解答

4 (\frac{( x - 2 x ^{2} )}{3} + 2) = 2.5

解答

x = - \frac{- 1 + 34}{4}, x = \frac{1 + 34}{4}

+1

十进制

x = - 1.20773 \dots, x = 1.70773 \dots

求解步骤

4 (\frac{( x - 2 x ^{2} )}{3} + 2) = 2.5

在两边乘以

10

40 (\frac{x - 2 x ^{2}}{3} + 2) = 25

展开

40 (\frac{x - 2 x ^{2}}{3} + 2) : \frac{40 x}{3} - \frac{80 x ^{2}}{3} + 80

\frac{40 x}{3} - \frac{80 x ^{2}}{3} + 80 = 25

将

25

para o lado esquerdo

\frac{- 80 x ^{2} + 40 x}{3} + 55 = 0

改写成标准形式

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

- \frac{80 x ^{2}}{3} + \frac{40 x}{3} + 55 = 0

使用求根公式求解

x_{1, 2} = \frac{- \frac{40}{3} \pm ( \frac{40}{3} ) ^{2} - 4 ( - \frac{80}{3} ) \cdot 55}{2 ( - \frac{80}{3} )}

(\frac{40}{3})^{2} - 4 (- \frac{80}{3}) \cdot 55 = \frac{40 34}{3}

x_{1, 2} = \frac{- \frac{40}{3} \pm \frac{40 34}{3}}{2 ( - \frac{80}{3} )}

将解分隔开

x_{1} = \frac{- \frac{40}{3} + \frac{40 34}{3}}{2 ( - \frac{80}{3} )}, x_{2} = \frac{- \frac{40}{3} - \frac{40 34}{3}}{2 ( - \frac{80}{3} )}

x = \frac{- \frac{40}{3} + \frac{40 34}{3}}{2 ( - \frac{80}{3} )} : - \frac{- 1 + 34}{4}

x = \frac{- \frac{40}{3} - \frac{40 34}{3}}{2 ( - \frac{80}{3} )} : \frac{1 + 34}{4}

二次方程组的解是:

x = - \frac{- 1 + 34}{4}, x = \frac{1 + 34}{4}

作图

流行的例子

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

7 x^{2} - 11 x = 0

化简 ((-7)/(10k^5)}{\frac{7k)/3}

s im pl i f y \frac{\frac{- 7}{10 k ^{5}}}{\frac{7 k}{3}}

16x-30=4x+1+12x-31

16 x - 30 = 4 x + 1 + 12 x - 31

∣ 2 x - 3 ∣ - 4 = 1