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受欢迎的代数 >

32x^2-6x+9=0

解答

32 x^{2} - 6 x + 9 = 0

解答

x = \frac{3}{32} + i \frac{3 31}{32}, x = \frac{3}{32} - i \frac{3 31}{32}

求解步骤

32 x^{2} - 6 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 32 \cdot 9}{2 \cdot 32}

化简

(- 6)^{2} - 4 \cdot 32 \cdot 9 : 631 i

x_{1, 2} = \frac{- ( - 6 ) \pm 6 31 i}{2 \cdot 32}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 6 31 i}{2 \cdot 32}, x_{2} = \frac{- ( - 6 ) - 6 31 i}{2 \cdot 32}

x = \frac{- ( - 6 ) + 6 31 i}{2 \cdot 32} : \frac{3}{32} + i \frac{3 31}{32}

x = \frac{- ( - 6 ) - 6 31 i}{2 \cdot 32} : \frac{3}{32} - i \frac{3 31}{32}

二次方程组的解是:

x = \frac{3}{32} + i \frac{3 31}{32}, x = \frac{3}{32} - i \frac{3 31}{32}

作图

流行的例子

completesquare x^2-3x-1

co m pl e t es q u a re x^{2} - 3 x - 1

z^{2} - 12 z + 35 = 0

2 x (2 x + 1) = 5

x^2+(sqrt(3))/3 x+1/3 =0

x^{2} + \frac{3}{3} x + \frac{1}{3} = 0

因式分解 x^2+6x+9=1

f a c t or x^{2} + 6 x + 9 = 1