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受欢迎的代数 >

(3x-1)(x-1)=96

解答

(3 x - 1) (x - 1) = 96

解答

x = \frac{19}{3}, x = - 5

+1

十进制

x = 6.33333 \dots, x = - 5

求解步骤

(3 x - 1) (x - 1) = 96

展开

(3 x - 1) (x - 1) : 3 x^{2} - 4 x + 1

3 x^{2} - 4 x + 1 = 96

将

96

para o lado esquerdo

3 x^{2} - 4 x - 95 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 3 ( - 95 )}{2 \cdot 3}

(- 4)^{2} - 4 \cdot 3 (- 95) = 34

x_{1, 2} = \frac{- ( - 4 ) \pm 34}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 34}{2 \cdot 3}, x_{2} = \frac{- ( - 4 ) - 34}{2 \cdot 3}

x = \frac{- ( - 4 ) + 34}{2 \cdot 3} : \frac{19}{3}

x = \frac{- ( - 4 ) - 34}{2 \cdot 3} : - 5

二次方程组的解是:

x = \frac{19}{3}, x = - 5

作图

流行的例子

- 5 x^{2} + 6 x + 14 = - 5

5 x^{2} + 6 x + 9 = 0

(x + 4)^{2} = 28

(x + 4)^{2} = 20

5 x^{2} + 6 x + 4 = 0