Question

The expression √x is equal to 14i√3.what is the value of x?

Answer 1

To find the value of x, when given that √x is equal to 14i√3, you need to square both sides to remove the square root, yielding x = -588.

Step-by-step explanation:

The student is trying to find the value of x given that the square root of x (√x) is equal to 14i√3. Since we know that the square root of x is an imaginary number, we need to square both sides to remove the square root and solve for x.

Let's follow these steps:

1. Write down the equation: √x = 14i√3.
2. Square both sides of the equation to remove the square root: (√x)2 = (14i√3)2.
3. This simplifies to x = -142 × 3. (Remember, i2 = -1)
4. Compute the squared value: x = -142 × 3 = -196 × 3.
5. Finally, multiply to find the value of x: x = -588.

So, the value of x is -588.