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受欢迎的代数 >

x^2+((4-x)/2)^2=16

解答

x^{2} + (\frac{4 - x}{2})^{2} = 16

解答

x = 4, x = - \frac{12}{5}

+1

十进制

x = 4, x = - 2.4

求解步骤

x^{2} + (\frac{4 - x}{2})^{2} = 16

展开

x^{2} + (\frac{4 - x}{2})^{2} : 4 - 2 x + \frac{5 x ^{2}}{4}

4 - 2 x + \frac{5 x ^{2}}{4} = 16

将

16

para o lado esquerdo

\frac{5 x ^{2}}{4} - 2 x - 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot \frac{5}{4} ( - 12 )}{2 \cdot \frac{5}{4}}

(- 2)^{2} - 4 \cdot \frac{5}{4} (- 12) = 8

x_{1, 2} = \frac{- ( - 2 ) \pm 8}{2 \cdot \frac{5}{4}}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 8}{2 \cdot \frac{5}{4}}, x_{2} = \frac{- ( - 2 ) - 8}{2 \cdot \frac{5}{4}}

x = \frac{- ( - 2 ) + 8}{2 \frac{5}{4}} : 4

x = \frac{- ( - 2 ) - 8}{2 \frac{5}{4}} : - \frac{12}{5}

二次方程组的解是:

x = 4, x = - \frac{12}{5}

作图

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