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受欢迎的代数 >

5(10-x)^{4/3}+2=407

解答

5 (10 - x)^{\frac{4}{3}} + 2 = 407

解答

x = - 17, x = 37

求解步骤

5 (10 - x)^{\frac{4}{3}} + 2 = 407

将

2

到右边

5 (10 - x)^{\frac{4}{3}} = 405

两边除以

5

(10 - x)^{\frac{4}{3}} = 81

对方程式两边

3

次方:

(10 - x)^{4} = 531441

(10 - x)^{4} = 531441

解

(10 - x)^{4} = 531441 : x = - 17, x = 37

x = - 17, x = 37

验证解:

x = - 17

真

, x = 37

真

解为

x = - 17, x = 37

作图

流行的例子

x - 1 + 1 = x

3x=sqrt(3x+7)-1

3 x = 3 x + 7 - 1

sqrt(x+3)-sqrt(8x+1)=-1

x + 3 - 8 x + 1 = - 1

sqrt(x+7)-1=sqrt(x-4)

x + 7 - 1 = x - 4

3 x + 1 = 2