Answer
Solutions:
$x=1+3i$
$x=1-3i$
Work Step by Step
$x^2-2x+10=0~~$ ($a=1,b=-2,c=10$):
$x=\frac{-b±\sqrt {b^2-4ac}}{2a}=\frac{-(-2)±\sqrt {(-2)^2-4(1)(10)}}{2(1)}=\frac{2±\sqrt {-36}}{2}=\frac{2±6i}{2}=1±3i$
$x=1+3i$ or $x=1-3i$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.