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受欢迎的代数 >

x^2-5x-3=2x-5

解答

x^{2} - 5 x - 3 = 2 x - 5

解答

x = \frac{7 + 41}{2}, x = \frac{7 - 41}{2}

+1

十进制

x = 6.70156 \dots, x = 0.29843 \dots

求解步骤

x^{2} - 5 x - 3 = 2 x - 5

将

5

para o lado esquerdo

x^{2} - 5 x + 2 = 2 x

将

2 x

para o lado esquerdo

x^{2} - 7 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 2}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot 2 = 41

x_{1, 2} = \frac{- ( - 7 ) \pm 41}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 41}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 41}{2 \cdot 1}

x = \frac{- ( - 7 ) + 41}{2 \cdot 1} : \frac{7 + 41}{2}

x = \frac{- ( - 7 ) - 41}{2 \cdot 1} : \frac{7 - 41}{2}

二次方程组的解是:

x = \frac{7 + 41}{2}, x = \frac{7 - 41}{2}

作图

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