If `99xx21-root(3)(x)=1968` then x equals

Options

A. 1367631
B. 1366731
C. 1367
D. 111

Answer

To solve the equation \( 99 \times 21 - \sqrt[3]{x} = 1968 \), we will follow these steps:

### Step 1: Calculate \( 99 \times 21 \)
First, we need to compute the product of 99 and 21.

\[ 99 \times 21 = 2079 \]

### Step 2: Substitute the product back into the equation
Now, we substitute this value back into the original equation:

\[ 2079 - \sqrt[3]{x} = 1968 \]

### Step 3: Isolate \( \sqrt[3]{x} \)
Next, we will isolate \( \sqrt[3]{x} \) by moving it to one side of the equation:

\[ \sqrt[3]{x} = 2079 - 1968 \]

Calculating the right side:

\[ \sqrt[3]{x} = 111 \]

### Step 4: Cube both sides
To eliminate the cube root, we will cube both sides of the equation:

\[ x = 111^3 \]

### Step 5: Calculate \( 111^3 \)
Now we need to compute \( 111^3 \):

\[ 111^3 = 111 \times 111 \times 111 = 1367631 \]

### Conclusion
Thus, the value of \( x \) is:

\[ x = 1367631 \]