Solve equation

Question

^3√¯x + 5 = 3

Answer 1

Hi Keith;

^3√¯x + 5 = 3

[³√(x)]+5=3

Our first priority is to establish domain.  Because we can cube-root a negative and positive number, there are no limitations on domain.

Let's subtract 5 from both sides...

[³√(x)]+5-5=3-5

³√x=3-5

Let's cube both sides...

(³√x)³=(-2)³

Because (1/3)(3)=1. x is now x¹, x.

(1/3) is another expression for cube-root, ³√.

x=(-2)(-2)(-2)

x=-8

This is the same answer as Adam's.

 

Answer 2

^3√¯x + 5 = 3 = x^(1/3) + 5 = 3 ==> x^(1/3) = -2 ==> x = (-2)^3 ==> x = -8.