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受欢迎的代数 >

3x^2-44/3 x+35/3 = 1/3 (x-1)

解答

3 x^{2} - \frac{44}{3} x + \frac{35}{3} = \frac{1}{3} (x - 1)

解答

x = 4, x = 1

求解步骤

3 x^{2} - \frac{44}{3} x + \frac{35}{3} = \frac{1}{3} (x - 1)

在两边乘以

3

9 x^{2} - 44 x + 35 = x - 1

将

1

para o lado esquerdo

9 x^{2} - 44 x + 36 = x

将

x

para o lado esquerdo

9 x^{2} - 45 x + 36 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 45 ) \pm ( - 45 ) ^{2} - 4 \cdot 9 \cdot 36}{2 \cdot 9}

(- 45)^{2} - 4 \cdot 9 \cdot 36 = 27

x_{1, 2} = \frac{- ( - 45 ) \pm 27}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 45 ) + 27}{2 \cdot 9}, x_{2} = \frac{- ( - 45 ) - 27}{2 \cdot 9}

x = \frac{- ( - 45 ) + 27}{2 \cdot 9} : 4

x = \frac{- ( - 45 ) - 27}{2 \cdot 9} : 1

二次方程组的解是:

x = 4, x = 1

作图

流行的例子

12 y^{2} - 17 y - 5 = 0

x^{2} + 8 x + 15 = - 4

12x^2-108x+216=0

12 x^{2} - 108 x + 216 = 0

3 x^{2} - x = 1

2 r^{2} + 9 r + 10 = 0