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受欢迎的代数 >

7x^2-16x+100=0

解答

7 x^{2} - 16 x + 100 = 0

解答

x = \frac{8}{7} + i \frac{2 159}{7}, x = \frac{8}{7} - i \frac{2 159}{7}

求解步骤

7 x^{2} - 16 x + 100 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 7 \cdot 100}{2 \cdot 7}

化简

(- 16)^{2} - 4 \cdot 7 \cdot 100 : 4159 i

x_{1, 2} = \frac{- ( - 16 ) \pm 4 159 i}{2 \cdot 7}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 4 159 i}{2 \cdot 7}, x_{2} = \frac{- ( - 16 ) - 4 159 i}{2 \cdot 7}

x = \frac{- ( - 16 ) + 4 159 i}{2 \cdot 7} : \frac{8}{7} + i \frac{2 159}{7}

x = \frac{- ( - 16 ) - 4 159 i}{2 \cdot 7} : \frac{8}{7} - i \frac{2 159}{7}

二次方程组的解是:

x = \frac{8}{7} + i \frac{2 159}{7}, x = \frac{8}{7} - i \frac{2 159}{7}

作图

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