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受欢迎的代数 >

4(x-1)^2=6x+2

解答

4 (x - 1)^{2} = 6 x + 2

解答

x = \frac{7 + 41}{4}, x = \frac{7 - 41}{4}

+1

十进制

x = 3.35078 \dots, x = 0.14921 \dots

求解步骤

4 (x - 1)^{2} = 6 x + 2

展开

4 (x - 1)^{2} : 4 x^{2} - 8 x + 4

4 x^{2} - 8 x + 4 = 6 x + 2

将

2

para o lado esquerdo

4 x^{2} - 8 x + 2 = 6 x

将

6 x

para o lado esquerdo

4 x^{2} - 14 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 4 \cdot 2}{2 \cdot 4}

(- 14)^{2} - 4 \cdot 4 \cdot 2 = 241

x_{1, 2} = \frac{- ( - 14 ) \pm 2 41}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 2 41}{2 \cdot 4}, x_{2} = \frac{- ( - 14 ) - 2 41}{2 \cdot 4}

x = \frac{- ( - 14 ) + 2 41}{2 \cdot 4} : \frac{7 + 41}{4}

x = \frac{- ( - 14 ) - 2 41}{2 \cdot 4} : \frac{7 - 41}{4}

二次方程组的解是:

x = \frac{7 + 41}{4}, x = \frac{7 - 41}{4}

作图

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