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受欢迎的代数 >

9x^2+18x+17=0

解答

9 x^{2} + 18 x + 17 = 0

解答

x = - 1 + i \frac{2 2}{3}, x = - 1 - i \frac{2 2}{3}

求解步骤

9 x^{2} + 18 x + 17 = 0

使用求根公式求解

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 9 \cdot 17}{2 \cdot 9}

化简

1 8^{2} - 4 \cdot 9 \cdot 17 : 122 i

x_{1, 2} = \frac{- 18 \pm 12 2 i}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- 18 + 12 2 i}{2 \cdot 9}, x_{2} = \frac{- 18 - 12 2 i}{2 \cdot 9}

x = \frac{- 18 + 12 2 i}{2 \cdot 9} : - 1 + i \frac{2 2}{3}

x = \frac{- 18 - 12 2 i}{2 \cdot 9} : - 1 - i \frac{2 2}{3}

二次方程组的解是:

x = - 1 + i \frac{2 2}{3}, x = - 1 - i \frac{2 2}{3}

作图

流行的例子

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

(x+20)(x+4)=8x-1

(x + 20) (x + 4) = 8 x - 1

completesquare 2x^2+9x+9

co m pl e t es q u a re 2 x^{2} + 9 x + 9

5^2=(x+1)^2+x^2

5^{2} = (x + 1)^{2} + x^{2}

completesquare 2x^2+9x+4

co m pl e t es q u a re 2 x^{2} + 9 x + 4