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受欢迎的代数 >

2x(x-5)=x+3

解答

2 x (x - 5) = x + 3

解答

x = \frac{11 + 145}{4}, x = \frac{11 - 145}{4}

+1

十进制

x = 5.76039 \dots, x = - 0.26039 \dots

求解步骤

2 x (x - 5) = x + 3

展开

2 x (x - 5) : 2 x^{2} - 10 x

2 x^{2} - 10 x = x + 3

将

3

para o lado esquerdo

2 x^{2} - 10 x - 3 = x

将

x

para o lado esquerdo

2 x^{2} - 11 x - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

(- 11)^{2} - 4 \cdot 2 (- 3) = 145

x_{1, 2} = \frac{- ( - 11 ) \pm 145}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 145}{2 \cdot 2}, x_{2} = \frac{- ( - 11 ) - 145}{2 \cdot 2}

x = \frac{- ( - 11 ) + 145}{2 \cdot 2} : \frac{11 + 145}{4}

x = \frac{- ( - 11 ) - 145}{2 \cdot 2} : \frac{11 - 145}{4}

二次方程组的解是:

x = \frac{11 + 145}{4}, x = \frac{11 - 145}{4}

作图

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