Explanation:

Correct option 2: 0.6

To solve the equation x3=1.53−0.93−2.43, we will follow these steps:

Step 1: Calculate 1.5³
First, we need to find the value of 1.5³.
1.5³=1.5×1.5×1.5=3.375

Step 2: Calculate 0.9³
Next, we find the value of 0.9³.
0.9³=0.9×0.9×0.9=0.729

Step 3: Substitute the values into the equation
Now we substitute the calculated values back into the equation:
x³=3.375−0.729−2.43

Step 4: Perform the subtraction
Now we perform the subtraction step by step:
1. First, calculate 3.375−0.729:
3.375−0.729=2.646
2. Then, subtract 2.43 from 2.646:
2.646−2.43=0.216

Step 5: Set up the final equation
Now we have:
x³=0.216

Step 6: Solve for x
To find x, we take the cube root of both sides:
x= ³√0.216

Step 7: Calculate the cube root
Now we calculate the cube root:
x=0.6

Final Answer
Thus, the value of x is:0.6