Question

x = -11 + (square root of -300). What are the values of a and b if this solution is written in the form x = a + bi, when a and b are real numbers?

Answer 1

The given equation is x = -11 + √(-300). To write this solution in the form x = a + bi, where a and b are real numbers, we need to express the square root of -300 in terms of the imaginary unit "i".

First, let's find the square root of -300:
√(-300) = √(300 * -1) = √(300) * √(-1) = 10√3 * i

Now, substitute this value back into the original equation:
x = -11 + 10√3 * i

So, the solution in the form x = a + bi is:
x = -11 + 10√3 * i
where a = -11 and b = 10√3. (I think)