Solving by completing the square - Higher; Graphs of quadratic functions; ... (ax^2 + bx + c = 0 \) has just one solution (a repeated root) then the graph just touches the x-axis without crossing it.

It is not possible to find the square root of a negative number, so the equation has no solutions. The graph of \(y = x^2 + 2x + 5\) does not cross or touch the x-axis so the equation \(x^2 + 2x ...