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受欢迎的代数 >

x^2+0.2*(1-x)=0

解答

x^{2} + 0.2 \cdot (1 - x) = 0

解答

x = \frac{1}{10} + i \frac{19}{10}, x = \frac{1}{10} - i \frac{19}{10}

求解步骤

x^{2} + 0.2 (1 - x) = 0

在两边乘以

10

10 x^{2} + 2 (1 - x) = 0

展开

10 x^{2} + 2 (1 - x) : 10 x^{2} + 2 - 2 x

10 x^{2} + 2 - 2 x = 0

改写成标准形式

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

10 x^{2} - 2 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 10 \cdot 2}{2 \cdot 10}

化简

(- 2)^{2} - 4 \cdot 10 \cdot 2 : 219 i

x_{1, 2} = \frac{- ( - 2 ) \pm 2 19 i}{2 \cdot 10}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 19 i}{2 \cdot 10}, x_{2} = \frac{- ( - 2 ) - 2 19 i}{2 \cdot 10}

x = \frac{- ( - 2 ) + 2 19 i}{2 \cdot 10} : \frac{1}{10} + i \frac{19}{10}

x = \frac{- ( - 2 ) - 2 19 i}{2 \cdot 10} : \frac{1}{10} - i \frac{19}{10}

二次方程组的解是:

x = \frac{1}{10} + i \frac{19}{10}, x = \frac{1}{10} - i \frac{19}{10}

作图

流行的例子

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s im pl i f y \frac{3}{8 x ^{3} y ^{3}} - \frac{1}{4 x y}

300x>160.5x+69750

300 x > 160.5 x + 69750

化简 (7^7)/(7^5)

s im pl i f y \frac{7 ^{7}}{7 ^{5}}

(2x-3/4)(x-1/2)=31

(2 x - \frac{3}{4}) (x - \frac{1}{2}) = 31

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s im pl i f y \frac{142.17 ( 1.2 )}{( 32.11 ) ( 79.1 )}