Problem 18 of 7
Verify proposed root 1+2i of quadratic x^2-2x+5 by substitution.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
evaluate polynomial at proposed roots.
Hidden until you reveal it.
Root may be real or complex; verification must use the stated polynomial.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Substitute the proposed root into the quadratic.
2. Simplify using ordinary or complex arithmetic.
3. Conclude root if the result is zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Checking against the wrong polynomial or only checking real part.