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受欢迎的代数 >

3x^2-11x=-7x-4

解答

3 x^{2} - 11 x = - 7 x - 4

解答

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

求解步骤

3 x^{2} - 11 x = - 7 x - 4

将

4

para o lado esquerdo

3 x^{2} - 11 x + 4 = - 7 x

将

7 x

para o lado esquerdo

3 x^{2} - 4 x + 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 3 \cdot 4}{2 \cdot 3}

化简

(- 4)^{2} - 4 \cdot 3 \cdot 4 : 42 i

x_{1, 2} = \frac{- ( - 4 ) \pm 4 2 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 4 2 i}{2 \cdot 3}, x_{2} = \frac{- ( - 4 ) - 4 2 i}{2 \cdot 3}

x = \frac{- ( - 4 ) + 4 2 i}{2 \cdot 3} : \frac{2}{3} + i \frac{2 2}{3}

x = \frac{- ( - 4 ) - 4 2 i}{2 \cdot 3} : \frac{2}{3} - i \frac{2 2}{3}

二次方程组的解是:

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

作图

流行的例子

t^{2} = 3 (t - 1)

- 3 x^{2} - 3 x + 4 = 0

3 - 2 x = x^{2}

completesquare 2x^2+6x+3=0

co m pl e t es q u a re 2 x^{2} + 6 x + 3 = 0

0=16n^2+84n-4860

0 = 16 n^{2} + 84 n - 4860