Question

What are the complex solutions for x^2=4x-29?

Answer 1

2 plus minus 5i

Answer 2

Thank you!

Answer 3

\[
x^2-4x+29=0\\
\text{Use the quadratic formula:}\\
\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\dfrac{4\pm\sqrt{16-4\cdot29}}{2}\\
\dfrac{4\pm\sqrt{-100}}{2}\\
\dfrac{4\pm10i}{2}\\
2\pm5i
\]