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受欢迎的代数 >

3x+1=2x^2-3x+1

解答

3 x + 1 = 2 x^{2} - 3 x + 1

解答

x = 3, x = 0

求解步骤

3 x + 1 = 2 x^{2} - 3 x + 1

交换两边

2 x^{2} - 3 x + 1 = 3 x + 1

将

1

para o lado esquerdo

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

将

3 x

para o lado esquerdo

2 x^{2} - 6 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 6)^{2} - 4 \cdot 2 \cdot 0 = 6

x_{1, 2} = \frac{- ( - 6 ) \pm 6}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 6}{2 \cdot 2}, x_{2} = \frac{- ( - 6 ) - 6}{2 \cdot 2}

x = \frac{- ( - 6 ) + 6}{2 \cdot 2} : 3

x = \frac{- ( - 6 ) - 6}{2 \cdot 2} : 0

二次方程组的解是:

x = 3, x = 0

作图

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