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受欢迎的代数 >

9x^2-12x+12=0

解答

9 x^{2} - 12 x + 12 = 0

解答

x = \frac{2}{3} + i \frac{2 2}{3}, x = \frac{2}{3} - i \frac{2 2}{3}

求解步骤

9 x^{2} - 12 x + 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 9 \cdot 12}{2 \cdot 9}

化简

(- 12)^{2} - 4 \cdot 9 \cdot 12 : 122 i

x_{1, 2} = \frac{- ( - 12 ) \pm 12 2 i}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 12 2 i}{2 \cdot 9}, x_{2} = \frac{- ( - 12 ) - 12 2 i}{2 \cdot 9}

x = \frac{- ( - 12 ) + 12 2 i}{2 \cdot 9} : \frac{2}{3} + i \frac{2 2}{3}

x = \frac{- ( - 12 ) - 12 2 i}{2 \cdot 9} : \frac{2}{3} - i \frac{2 2}{3}

二次方程组的解是:

x = \frac{2}{3} + i \frac{2 2}{3}, x = \frac{2}{3} - i \frac{2 2}{3}

作图

流行的例子

12x^2-240x+819=0

12 x^{2} - 240 x + 819 = 0

6 x^{2} - 18 x - 240 = 0

2 b^{2} + 11 b + 7 = 0

x^{2} + 15 x + 60 = 4

16(x^2-6)+5=-10

16 (x^{2} - 6) + 5 = - 10