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受欢迎的代数 >

100x^2-10011x+10.011=0

解答

100 x^{2} - 10011 x + 10.011 = 0

解答

x = \frac{10011000 + 1001100 0 ^{2} - 4004400000}{200000}, x = \frac{10011000 - 1001100 0 ^{2} - 4004400000}{200000}

+1

十进制

x = 100.10899 \dots, x = 0.00100 \dots

求解步骤

100 x^{2} - 10011 x + 10.011 = 0

在两边乘以

1000

100000 x^{2} - 10011000 x + 10011 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10011000 ) \pm ( - 10011000 ) ^{2} - 4 \cdot 100000 \cdot 10011}{2 \cdot 100000}

(- 10011000)^{2} - 4 \cdot 100000 \cdot 10011 = 1001100 0^{2} - 4004400000

x_{1, 2} = \frac{- ( - 10011000 ) \pm 1001100 0 ^{2} - 4004400000}{2 \cdot 100000}

将解分隔开

x_{1} = \frac{- ( - 10011000 ) + 1001100 0 ^{2} - 4004400000}{2 \cdot 100000}, x_{2} = \frac{- ( - 10011000 ) - 1001100 0 ^{2} - 4004400000}{2 \cdot 100000}

x = \frac{- ( - 10011000 ) + 1001100 0 ^{2} - 4004400000}{2 \cdot 100000} : \frac{10011000 + 1001100 0 ^{2} - 4004400000}{200000}

x = \frac{- ( - 10011000 ) - 1001100 0 ^{2} - 4004400000}{2 \cdot 100000} : \frac{10011000 - 1001100 0 ^{2} - 4004400000}{200000}

二次方程组的解是:

x = \frac{10011000 + 1001100 0 ^{2} - 4004400000}{200000}, x = \frac{10011000 - 1001100 0 ^{2} - 4004400000}{200000}

作图

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