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受欢迎的代数 >

x+18+2x^2=-5x+3

解答

x + 18 + 2 x^{2} = - 5 x + 3

解答

x = - \frac{3}{2} + i \frac{21}{2}, x = - \frac{3}{2} - i \frac{21}{2}

求解步骤

x + 18 + 2 x^{2} = - 5 x + 3

将

3

para o lado esquerdo

2 x^{2} + x + 15 = - 5 x

将

5 x

para o lado esquerdo

2 x^{2} + 6 x + 15 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 2 \cdot 15}{2 \cdot 2}

化简

6^{2} - 4 \cdot 2 \cdot 15 : 221 i

x_{1, 2} = \frac{- 6 \pm 2 21 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 6 + 2 21 i}{2 \cdot 2}, x_{2} = \frac{- 6 - 2 21 i}{2 \cdot 2}

x = \frac{- 6 + 2 21 i}{2 \cdot 2} : - \frac{3}{2} + i \frac{21}{2}

x = \frac{- 6 - 2 21 i}{2 \cdot 2} : - \frac{3}{2} - i \frac{21}{2}

二次方程组的解是:

x = - \frac{3}{2} + i \frac{21}{2}, x = - \frac{3}{2} - i \frac{21}{2}

作图

流行的例子

x^{2} - 9 x - 4 = 0

completesquare x^2-4x-12

co m pl e t es q u a re x^{2} - 4 x - 12

2 (x + 3)^{2} + 1 = 9

6 x^{2} + 1 = 0

6 x^{2} = 4 x - 9