# Are you smarter than an 8th grader? #2

**Number Theory**Level 4

Given that \(a\) has a remainder of \(6\) and \(b\) has a remainder of \(1\) when divided by \(14\), what is the remainder of \(x\) when divided by \(14\), given \(x\) is an integer solution to \(x^{2}-2ax+b=0\)