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受欢迎的代数 >

-6x^2-2=-5x

解答

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

解答

x = \frac{5}{12} - i \frac{23}{12}, x = \frac{5}{12} + i \frac{23}{12}

求解步骤

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

将

5 x

para o lado esquerdo

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

改写成标准形式

a x^{2} + b x + c = 0

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

使用求根公式求解

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

化简

5^{2} - 4 (- 6) (- 2) : 23 i

x_{1, 2} = \frac{- 5 \pm 23 i}{2 ( - 6 )}

将解分隔开

x_{1} = \frac{- 5 + 23 i}{2 ( - 6 )}, x_{2} = \frac{- 5 - 23 i}{2 ( - 6 )}

x = \frac{- 5 + 23 i}{2 ( - 6 )} : \frac{5}{12} - i \frac{23}{12}

x = \frac{- 5 - 23 i}{2 ( - 6 )} : \frac{5}{12} + i \frac{23}{12}

二次方程组的解是:

x = \frac{5}{12} - i \frac{23}{12}, x = \frac{5}{12} + i \frac{23}{12}

作图

流行的例子

|(3x-4)/3 |<= 1/5

\frac{3 x - 4}{3} \leq \frac{1}{5}

因式分解 12n^2+58n+56

f a c t or 12 n^{2} + 58 n + 56

4 x = 4 + 2 x

(3(x-4))/2 >= (2x)/3-9

\frac{3 ( x - 4 )}{2} \geq \frac{2 x}{3} - 9

2 d + 7 < - 9