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受欢迎的代数 >

3.1x+6.2=1.05x^2

解答

3.1 x + 6.2 = 1.05 x^{2}

解答

x = \frac{31 + 3565}{21}, x = \frac{31 - 3565}{21}

+1

十进制

x = 4.31941 \dots, x = - 1.36702 \dots

求解步骤

3.1 x + 6.2 = 1.05 x^{2}

在两边乘以

100

310 x + 620 = 105 x^{2}

交换两边

105 x^{2} = 310 x + 620

将

620

para o lado esquerdo

105 x^{2} - 620 = 310 x

将

310 x

para o lado esquerdo

105 x^{2} - 620 - 310 x = 0

改写成标准形式

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

105 x^{2} - 310 x - 620 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 310 ) \pm ( - 310 ) ^{2} - 4 \cdot 105 ( - 620 )}{2 \cdot 105}

(- 310)^{2} - 4 \cdot 105 (- 620) = 103565

x_{1, 2} = \frac{- ( - 310 ) \pm 10 3565}{2 \cdot 105}

将解分隔开

x_{1} = \frac{- ( - 310 ) + 10 3565}{2 \cdot 105}, x_{2} = \frac{- ( - 310 ) - 10 3565}{2 \cdot 105}

x = \frac{- ( - 310 ) + 10 3565}{2 \cdot 105} : \frac{31 + 3565}{21}

x = \frac{- ( - 310 ) - 10 3565}{2 \cdot 105} : \frac{31 - 3565}{21}

二次方程组的解是:

x = \frac{31 + 3565}{21}, x = \frac{31 - 3565}{21}

作图

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