Question

ERROR ANALYSIS In Exercises 35 and 36, describe and

correct the error in solving the equation.
35.
36.
2√3x-8=4
X (√3x-8)³ =4
3x-8=4
X
al Functions
3x = 12
x = 4
help with number 35

Answer 1

To solve the equation 2√3x-8=4, we need to isolate the variable x. The error in the given solution is that x was multiplied instead of raising to the power of 3. The correct way to solve the equation is (√3x-8)³ = (4-x).

Step-by-step explanation:

To solve the equation 2√3x-8=4, we need to isolate the variable x. Let's correct the error in the given solution:

1. The error is in the step x(√3x-8)³ = 4. Instead, we should raise the entire expression (√3x-8) to the power of 3, not just multiply x by it.
2. The corrected step is (√3x-8)³ = (4-x).
3. Now we can expand the cube on the left side and solve for x by simplifying the resulting equation.

The correct way to solve the equation is (√3x-8)³ = (4-x). I hope this helps!