Question

What is the solution of the equation?
A. –5, 11
B. 5
C. 11
D. –11

Answer 1

A

Explanation:

Given

4
`(3-x)^{(4)/(3) }` - 5 = 59 ( add 5 to both sides )

4
`(3-x)^{(4)/(3) }` = 64 ( divide both sides by 4 )

`(3-x)^{(4)/(3) }` = 16 ( cube both sides )

`(3-x)^(4)` = 16³ = 4096 ( take the fourth root of both sides )

3 - x = ± 8, thus

3 - x = 8 ( subtract 3 from both sides )

- x = 5 ( multiply both sides by - 1 )

x = - 5

OR

3 - x = - 8 ( subtract 3 from both sides )

- x = - 11 ( multiply both sides by - 1 )

x = 11

Thus x = - 5, 11 → A

Answer 2

-5 add five to both sides then divide four by both sides also you wanna use exponent rules. Simplify. Subtract 3 from both sides divide both sides by -1 then you get x = -5