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受欢迎的代数 >

0=x^2-x10^{-4.76}-0.210^{-4.76}

解答

0 = x^{2} - x \cdot 1 0^{- 4.76} - 0.2 \cdot 1 0^{- 4.76}

解答

x = \frac{0.00001 \dots + 0.00001 \dots}{2}, x = \frac{0.00001 \dots - 0.00001 \dots}{2}

+1

十进制

x = 0.00187 \dots, x = - 0.00185 \dots

求解步骤

0 = x^{2} - x \cdot 1 0^{- 4.76} - 0.2 \cdot 1 0^{- 4.76}

展开

x^{2} - x \cdot 1 0^{- 4.76} - 0.2 \cdot 1 0^{- 4.76} : x^{2} - \frac{1}{1 0 ^{4.76}} x - \frac{0.2}{1 0 ^{4.76}}

0 = x^{2} - \frac{1}{1 0 ^{4.76}} x - \frac{0.2}{1 0 ^{4.76}}

交换两边

x^{2} - \frac{1}{1 0 ^{4.76}} x - \frac{0.2}{1 0 ^{4.76}} = 0

改写成标准形式

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

x^{2} - 0.00001 \dots x - 3.4756 E - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 0.00001 \dots ) \pm ( - 0.00001 \dots ) ^{2} - 4 \cdot 1 \cdot ( - 3.4756 E - 6 )}{2 \cdot 1}

(- 0.00001 \dots)^{2} - 4 \cdot 1 \cdot (- 3.4756 E - 6) = 0.00001 \dots

x_{1, 2} = \frac{- ( - 0.00001 \dots ) \pm 0.00001 \dots}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 0.00001 \dots ) + 0.00001 \dots}{2 \cdot 1}, x_{2} = \frac{- ( - 0.00001 \dots ) - 0.00001 \dots}{2 \cdot 1}

x = \frac{- ( - 0.00001 \dots ) + 0.00001 \dots}{2 \cdot 1} : \frac{0.00001 \dots + 0.00001 \dots}{2}

x = \frac{- ( - 0.00001 \dots ) - 0.00001 \dots}{2 \cdot 1} : \frac{0.00001 \dots - 0.00001 \dots}{2}

二次方程组的解是:

x = \frac{0.00001 \dots + 0.00001 \dots}{2}, x = \frac{0.00001 \dots - 0.00001 \dots}{2}

作图

流行的例子

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48 x^{2} - 168 x + 72 = 0

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