Chapter 9 - Solving Quadratic Equations - 9.3 - Solving Quadratic Equations Using Square Roots - Exercises - Page 502: 40

One solution

The number of solutions is given by the number of $x$-intercepts (the $x$-coordinates of the intersection points between the graph of the function and the $x$-axis). In this case the parabola touches the $x$-axis at one point $(1,0)$. Therefore the equation has one solution.