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受欢迎的代数 >

5x^2-3x+1=-3x^2-2x

解答

5 x^{2} - 3 x + 1 = - 3 x^{2} - 2 x

解答

x = \frac{1}{16} + i \frac{31}{16}, x = \frac{1}{16} - i \frac{31}{16}

求解步骤

5 x^{2} - 3 x + 1 = - 3 x^{2} - 2 x

将

2 x

para o lado esquerdo

5 x^{2} - x + 1 = - 3 x^{2}

将

3 x^{2}

para o lado esquerdo

8 x^{2} - x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 8 \cdot 1}{2 \cdot 8}

化简

(- 1)^{2} - 4 \cdot 8 \cdot 1 : 31 i

x_{1, 2} = \frac{- ( - 1 ) \pm 31 i}{2 \cdot 8}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 31 i}{2 \cdot 8}, x_{2} = \frac{- ( - 1 ) - 31 i}{2 \cdot 8}

x = \frac{- ( - 1 ) + 31 i}{2 \cdot 8} : \frac{1}{16} + i \frac{31}{16}

x = \frac{- ( - 1 ) - 31 i}{2 \cdot 8} : \frac{1}{16} - i \frac{31}{16}

二次方程组的解是:

x = \frac{1}{16} + i \frac{31}{16}, x = \frac{1}{16} - i \frac{31}{16}

作图

流行的例子

a^{2} + 24 a + 144 = 0

5 x^{2} - 50 x + 30 = 0

(x - 10)^{2} = 11

x^{2} + 6 x - (6 + 7) = 0

completesquare 3x^2-6x-1

co m pl e t es q u a re 3 x^{2} - 6 x - 1