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受欢迎的代数 >

175-50x+x^2=0

解答

175 - 50 x + x^{2} = 0

解答

x = 5 (5 + 32), x = 5 (5 - 32)

+1

十进制

x = 46.21320 \dots, x = 3.78679 \dots

求解步骤

175 - 50 x + x^{2} = 0

改写成标准形式

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

x^{2} - 50 x + 175 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 1 \cdot 175}{2 \cdot 1}

(- 50)^{2} - 4 \cdot 1 \cdot 175 = 302

x_{1, 2} = \frac{- ( - 50 ) \pm 30 2}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 50 ) + 30 2}{2 \cdot 1}, x_{2} = \frac{- ( - 50 ) - 30 2}{2 \cdot 1}

x = \frac{- ( - 50 ) + 30 2}{2 \cdot 1} : 5 (5 + 32)

x = \frac{- ( - 50 ) - 30 2}{2 \cdot 1} : 5 (5 - 32)

二次方程组的解是:

x = 5 (5 + 32), x = 5 (5 - 32)

作图

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