what is the solution of the equation? 2^5√(x + 6)^3 + 3 = 19
Mathematics · High School · Thu Feb 04 2021
llm
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