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受欢迎的代数 >

5x^2+18x+22=0

解答

5 x^{2} + 18 x + 22 = 0

解答

x = - \frac{9}{5} + i \frac{29}{5}, x = - \frac{9}{5} - i \frac{29}{5}

求解步骤

5 x^{2} + 18 x + 22 = 0

使用求根公式求解

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 5 \cdot 22}{2 \cdot 5}

化简

1 8^{2} - 4 \cdot 5 \cdot 22 : 229 i

x_{1, 2} = \frac{- 18 \pm 2 29 i}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- 18 + 2 29 i}{2 \cdot 5}, x_{2} = \frac{- 18 - 2 29 i}{2 \cdot 5}

x = \frac{- 18 + 2 29 i}{2 \cdot 5} : - \frac{9}{5} + i \frac{29}{5}

x = \frac{- 18 - 2 29 i}{2 \cdot 5} : - \frac{9}{5} - i \frac{29}{5}

二次方程组的解是:

x = - \frac{9}{5} + i \frac{29}{5}, x = - \frac{9}{5} - i \frac{29}{5}

作图

流行的例子

completesquare x^2+12x+27=0

co m pl e t es q u a re x^{2} + 12 x + 27 = 0

30 u - 25 = 9 u^{2}

solvefor y,x^2+xy+y^2-6=0

so l v e f or y, x^{2} + x y + y^{2} - 6 = 0

10 x - 4 = 5 x^{2}

(8 + v) (4 v - 5) = 0