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受欢迎的代数 >

5-2(3x^2-2x)=x^2+7-2x^2

解答

5 - 2 (3 x^{2} - 2 x) = x^{2} + 7 - 2 x^{2}

解答

x = \frac{2}{5} - i \frac{6}{5}, x = \frac{2}{5} + i \frac{6}{5}

求解步骤

5 - 2 (3 x^{2} - 2 x) = x^{2} + 7 - 2 x^{2}

展开

5 - 2 (3 x^{2} - 2 x) : 5 - 6 x^{2} + 4 x

5 - 6 x^{2} + 4 x = - x^{2} + 7

将

7

para o lado esquerdo

- 6 x^{2} + 4 x - 2 = - x^{2}

将

x^{2}

para o lado esquerdo

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

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 5 ) ( - 2 )}{2 ( - 5 )}

化简

4^{2} - 4 (- 5) (- 2) : 26 i

x_{1, 2} = \frac{- 4 \pm 2 6 i}{2 ( - 5 )}

将解分隔开

x_{1} = \frac{- 4 + 2 6 i}{2 ( - 5 )}, x_{2} = \frac{- 4 - 2 6 i}{2 ( - 5 )}

x = \frac{- 4 + 2 6 i}{2 ( - 5 )} : \frac{2}{5} - i \frac{6}{5}

x = \frac{- 4 - 2 6 i}{2 ( - 5 )} : \frac{2}{5} + i \frac{6}{5}

二次方程组的解是:

x = \frac{2}{5} - i \frac{6}{5}, x = \frac{2}{5} + i \frac{6}{5}

作图

流行的例子

x^{2} - 6 x = - 12

x^2-12x-5=-6x+2

x^{2} - 12 x - 5 = - 6 x + 2

9 p^{2} - 27 p + 20 = 0

solvefor x,x^2y^2-x-4y^2=0

so l v e f or x, x^{2} y^{2} - x - 4 y^{2} = 0

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