Question

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

Answer 1

Answer:

The solution is -5 or 11

Step-by-step explanation:

We are given the equation;

$4(3-x)^\frac{4}{3}-5=59$

We are supposed to solve the equation;

Taking 5 to the other side;

$4(3-x)^\frac{4}{3}=59+5$

$4(3-x)^\frac{4}{3}=64$

Dividing both sides by 4

$(3-x)^\frac{4}{3}=\frac{64}{4}$

$(3-x)^\frac{4}{3}=16$

We can cube both sides;

$((3-x)^\frac{4}{3})^3=16^3$

$(3-x)^4=4096$

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