Select the correct answer.
One solution to a quadratic function, , is given.

Which statement is true?
A. Function has no other solutions.
B. The other solution to function is .
C. The other solution to function is .
D. The other solution to function is .

When a quadratic function has complex roots, they always come in conjugate pairs. Since one solution is , the other solution must be its conjugate, which is .

So, the correct answer is B: The other solution to function is .

Understanding complex numbers opens up a wide world of mathematical exploration! Imaginary units like (where ) help us solve equations that don’t have real solutions, allowing us to tap into the rich tapestry of mathematics, involving everything from engineering to quantum physics.

In practical scenarios, complex roots are crucial for electrical engineering and signal processing, where they help analyze waveforms and oscillations. The behavior of circuits, sound waves, and even stock market predictions can often involve complex numbers, giving engineers and analysts powerful tools to interpret and optimize systems in real-world applications.