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受欢迎的代数 >

0=a^2-2a+2.34

解答

0 = a^{2} - 2 a + 2.34

解答

a = 1 + i \frac{134}{10}, a = 1 - i \frac{134}{10}

求解步骤

0 = a^{2} - 2 a + 2.34

在两边乘以

100

0 = 100 a^{2} - 200 a + 234

交换两边

100 a^{2} - 200 a + 234 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 200 ) \pm ( - 200 ) ^{2} - 4 \cdot 100 \cdot 234}{2 \cdot 100}

化简

(- 200)^{2} - 4 \cdot 100 \cdot 234 : 20134 i

a_{1, 2} = \frac{- ( - 200 ) \pm 20 134 i}{2 \cdot 100}

将解分隔开

a_{1} = \frac{- ( - 200 ) + 20 134 i}{2 \cdot 100}, a_{2} = \frac{- ( - 200 ) - 20 134 i}{2 \cdot 100}

a = \frac{- ( - 200 ) + 20 134 i}{2 \cdot 100} : 1 + i \frac{134}{10}

a = \frac{- ( - 200 ) - 20 134 i}{2 \cdot 100} : 1 - i \frac{134}{10}

二次方程组的解是:

a = 1 + i \frac{134}{10}, a = 1 - i \frac{134}{10}

作图

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144.3 x^{2} - 350.98 x + 49.9947 = 0

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