Question

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

Answer 1

The solution is -5 or 11

Explanation:

We are given the equation;

`4(3-x)^(4)/(3)-5=59`

We are supposed to solve the equation;

Taking 5 to the other side;

`4(3-x)^(4)/(3)=59+5`

`4(3-x)^(4)/(3)=64`

Dividing both sides by 4

`(3-x)^(4)/(3)=(64)/(4)`

`(3-x)^(4)/(3)=16`

We can cube both sides;

`((3-x)^(4)/(3))^3=16^3`

`(3-x)^4=4096`

Then we can get the fourth root on both sides of the equation;

`\sqrt[4]{ (3-x)^4} =\sqrt[4]{4096}`

We get;

`3-x=+8 or -8`

Solving for x

`3-x=8 and 3-x=-8`

Therefore;

`x=-5 or 11`

Therefore, the solution is -5 or 11