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受欢迎的代数 >

220900x^2-4760x+16=0

解答

220900 x^{2} - 4760 x + 16 = 0

解答

x = \frac{238 + 11045 \frac{56644}{121992025} - \frac{16}{55225}}{22090}, x = \frac{238 - 11045 \frac{56644}{121992025} - \frac{16}{55225}}{22090}

+1

十进制

x = 0.01738 \dots, x = 0.00416 \dots

求解步骤

220900 x^{2} - 4760 x + 16 = 0

两边除以

220900

\frac{220900 x ^{2}}{220900} - \frac{4760 x}{220900} + \frac{16}{220900} = \frac{0}{220900}

改写成标准形式

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

x^{2} - \frac{238 x}{11045} + \frac{4}{55225} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - \frac{238}{11045} ) \pm ( - \frac{238}{11045} ) ^{2} - 4 \cdot 1 \cdot \frac{4}{55225}}{2 \cdot 1}

(- \frac{238}{11045})^{2} - 4 \cdot 1 \cdot \frac{4}{55225} = \frac{56644}{121992025} - \frac{16}{55225}

x_{1, 2} = \frac{- ( - \frac{238}{11045} ) \pm \frac{56644}{121992025} - \frac{16}{55225}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - \frac{238}{11045} ) + \frac{56644}{121992025} - \frac{16}{55225}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{238}{11045} ) - \frac{56644}{121992025} - \frac{16}{55225}}{2 \cdot 1}

x = \frac{- ( - \frac{238}{11045} ) + \frac{56644}{121992025} - \frac{16}{55225}}{2 \cdot 1} : \frac{238 + 11045 \frac{56644}{121992025} - \frac{16}{55225}}{22090}

x = \frac{- ( - \frac{238}{11045} ) - \frac{56644}{121992025} - \frac{16}{55225}}{2 \cdot 1} : \frac{238 - 11045 \frac{56644}{121992025} - \frac{16}{55225}}{22090}

二次方程组的解是:

x = \frac{238 + 11045 \frac{56644}{121992025} - \frac{16}{55225}}{22090}, x = \frac{238 - 11045 \frac{56644}{121992025} - \frac{16}{55225}}{22090}

作图

流行的例子

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