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受欢迎的代数 >

(7.2-x)^2=0.652(1/2 x)(1.2+1/2 x)

解答

(7.2 - x)^{2} = 0.652 (\frac{1}{2} x) (1.2 + \frac{1}{2} x)

解答

x = \frac{14.7912 + 45.21927 \dots}{1.674}, x = \frac{14.7912 - 45.21927 \dots}{1.674}

+1

十进制

x = 12.85288 \dots, x = 4.81880 \dots

求解步骤

(7.2 - x)^{2} = 0.652 (\frac{1}{2} x) (1.2 + \frac{1}{2} x)

展开

(7.2 - x)^{2} : 51.84 - 14.4 x + x^{2}

展开

0.652 (\frac{1}{2} x) (1.2 + \frac{1}{2} x) : 0.3912 x + 0.163 x^{2}

51.84 - 14.4 x + x^{2} = 0.3912 x + 0.163 x^{2}

将

0.163 x^{2}

para o lado esquerdo

51.84 - 14.4 x + 0.837 x^{2} = 0.3912 x

将

0.3912 x

para o lado esquerdo

0.837 x^{2} - 14.7912 x + 51.84 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14.7912 ) \pm ( - 14.7912 ) ^{2} - 4 \cdot 0.837 \cdot 51.84}{2 \cdot 0.837}

(- 14.7912)^{2} - 4 \cdot 0.837 \cdot 51.84 = 45.21927 \dots

x_{1, 2} = \frac{- ( - 14.7912 ) \pm 45.21927 \dots}{2 \cdot 0.837}

将解分隔开

x_{1} = \frac{- ( - 14.7912 ) + 45.21927 \dots}{2 \cdot 0.837}, x_{2} = \frac{- ( - 14.7912 ) - 45.21927 \dots}{2 \cdot 0.837}

x = \frac{- ( - 14.7912 ) + 45.21927 \dots}{2 \cdot 0.837} : \frac{14.7912 + 45.21927 \dots}{1.674}

x = \frac{- ( - 14.7912 ) - 45.21927 \dots}{2 \cdot 0.837} : \frac{14.7912 - 45.21927 \dots}{1.674}

二次方程组的解是:

x = \frac{14.7912 + 45.21927 \dots}{1.674}, x = \frac{14.7912 - 45.21927 \dots}{1.674}

作图

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