The answer is below.
Work Step by Step
In order for there to be a real number solution, there must be two numbers that multiply to get 4 and add to get one. However, to get two numbers to add to one, both numbers must be between one and 0. All numbers between one and 0 multiply to get a number between one a zero, so there is no real number solution that multiplies to get 4 and adds to get one.