Two graph never intersect. As such, the equation has no solutions.

Question

Create an equation where the left side is a linear function and the right side is a square root function. Make it so that the equation has exactly one solution.

Answer 1

try y = ?x and y = (1/4)x + 1

see:
http://www.wolframalpha.com/input/?i=y+%3D+%E2%88%9Ax+,+y+%3D+(1%2F4)x+%2B+1