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受欢迎的代数 >

17=5-6x-x^2

解答

17 = 5 - 6 x - x^{2}

解答

x = - 3 - 3 i, x = - 3 + 3 i

求解步骤

17 = 5 - 6 x - x^{2}

交换两边

5 - 6 x - x^{2} = 17

将

17

para o lado esquerdo

- x^{2} - 6 x - 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 ( - 1 ) ( - 12 )}{2 ( - 1 )}

化简

(- 6)^{2} - 4 (- 1) (- 12) : 23 i

x_{1, 2} = \frac{- ( - 6 ) \pm 2 3 i}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 2 3 i}{2 ( - 1 )}, x_{2} = \frac{- ( - 6 ) - 2 3 i}{2 ( - 1 )}

x = \frac{- ( - 6 ) + 2 3 i}{2 ( - 1 )} : - 3 - 3 i

x = \frac{- ( - 6 ) - 2 3 i}{2 ( - 1 )} : - 3 + 3 i

二次方程组的解是:

x = - 3 - 3 i, x = - 3 + 3 i

作图

流行的例子

s im pl i f y - 4 - 3

x<=-5\land x<=-3

x \leq - 5 and x \leq - 3

log_{2}(x^2-6x)<= 3+log_{2}(1-x)

lo g_{2} (x^{2} - 6 x) \leq 3 + lo g_{2} (1 - x)

化简 (2^2)^{3/2}

s im pl i f y (2^{2})^{\frac{3}{2}}

5 x^{2} = x