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受欢迎的代数 >

(2/7)c^2-(1/2)c-(3/14)=0

解答

(\frac{2}{7}) c^{2} - (\frac{1}{2}) c - (\frac{3}{14}) = 0

解答

c = \frac{7 + 97}{8}, c = \frac{7 - 97}{8}

+1

十进制

c = 2.10610 \dots, c = - 0.35610 \dots

求解步骤

(\frac{2}{7}) c^{2} - (\frac{1}{2}) c - (\frac{3}{14}) = 0

整理后得

\frac{2}{7} c^{2} - \frac{1}{2} c - \frac{3}{14} = 0

改写成标准形式

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

\frac{2 c ^{2}}{7} - \frac{c}{2} - \frac{3}{14} = 0

使用求根公式求解

c_{1, 2} = \frac{- ( - \frac{1}{2} ) \pm ( - \frac{1}{2} ) ^{2} - 4 \cdot \frac{2}{7} ( - \frac{3}{14} )}{2 \cdot \frac{2}{7}}

(- \frac{1}{2})^{2} - 4 \cdot \frac{2}{7} (- \frac{3}{14}) = \frac{97}{14}

c_{1, 2} = \frac{- ( - \frac{1}{2} ) \pm \frac{97}{14}}{2 \cdot \frac{2}{7}}

将解分隔开

c_{1} = \frac{- ( - \frac{1}{2} ) + \frac{97}{14}}{2 \cdot \frac{2}{7}}, c_{2} = \frac{- ( - \frac{1}{2} ) - \frac{97}{14}}{2 \cdot \frac{2}{7}}

c = \frac{- ( - \frac{1}{2} ) + \frac{97}{14}}{2 \frac{2}{7}} : \frac{7 + 97}{8}

c = \frac{- ( - \frac{1}{2} ) - \frac{97}{14}}{2 \frac{2}{7}} : \frac{7 - 97}{8}

二次方程组的解是:

c = \frac{7 + 97}{8}, c = \frac{7 - 97}{8}

作图

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