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受欢迎的代数 >

(100-2x)(50-2x)=3600

解答

(100 - 2 x) (50 - 2 x) = 3600

解答

x = 70, x = 5

求解步骤

(100 - 2 x) (50 - 2 x) = 3600

展开

(100 - 2 x) (50 - 2 x) : 5000 - 300 x + 4 x^{2}

5000 - 300 x + 4 x^{2} = 3600

将

3600

para o lado esquerdo

4 x^{2} - 300 x + 1400 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 300 ) \pm ( - 300 ) ^{2} - 4 \cdot 4 \cdot 1400}{2 \cdot 4}

(- 300)^{2} - 4 \cdot 4 \cdot 1400 = 260

x_{1, 2} = \frac{- ( - 300 ) \pm 260}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 300 ) + 260}{2 \cdot 4}, x_{2} = \frac{- ( - 300 ) - 260}{2 \cdot 4}

x = \frac{- ( - 300 ) + 260}{2 \cdot 4} : 70

x = \frac{- ( - 300 ) - 260}{2 \cdot 4} : 5

二次方程组的解是:

x = 70, x = 5

作图

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