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受欢迎的代数 >

(35-x)(26-x)=850

解答

(35 - x) (26 - x) = 850

解答

x = 60, x = 1

求解步骤

(35 - x) (26 - x) = 850

展开

(35 - x) (26 - x) : 910 - 61 x + x^{2}

910 - 61 x + x^{2} = 850

将

850

para o lado esquerdo

x^{2} - 61 x + 60 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 61 ) \pm ( - 61 ) ^{2} - 4 \cdot 1 \cdot 60}{2 \cdot 1}

(- 61)^{2} - 4 \cdot 1 \cdot 60 = 59

x_{1, 2} = \frac{- ( - 61 ) \pm 59}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 61 ) + 59}{2 \cdot 1}, x_{2} = \frac{- ( - 61 ) - 59}{2 \cdot 1}

x = \frac{- ( - 61 ) + 59}{2 \cdot 1} : 60

x = \frac{- ( - 61 ) - 59}{2 \cdot 1} : 1

二次方程组的解是:

x = 60, x = 1

作图

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