what is the solution of the equation? 2^5√(x + 6)^3 + 3 = 19

Mathematics · High School · Thu Feb 04 2021

Answered on

We have,

2⁵√(x + 6)³ + 3 = 19

2⁵√(x + 6)³ = 19 - 3

√(x + 6)³ = 16/2⁵

√(x + 6)³ = 16/32

√(x + 6)³ = 1/2

Squaring both sides, we get

(x + 6)³ = 1/4

Now, taking cube root oh both sides, we get

(x + 6) = ³√1/4

x = ³√1/4 -6