On the graph, you see this challenge’s two base functions, the straight line y = -x+1 and the parabola y = x2 - 4x + 4. You will find these two functions do not intersect. In this math challenge, most of the function sets do not intersect, so most solutions are complex numbers.

You could do this by solving the equations, but you should try to first solve this challenge by using your logic, deduction, and spatial reasoning skills. Take a look at the equations and the possible solutions. Some of function sets will intersect so they will get a real solution. And the magnitude of the complex value might give you a clue to solve these problems without doing the math.

You will build more skills if you leave the “Check Answer” button alone until you are certain you have answered all seven problems correctly. Then figure out why you have made some wrong choices.