Let x be that number. Let's create a system using what we have: x^2 = 1/4 (1) x+x = 1 (2)
In the equation (1): x^2 = 1/4 So x = √1/4 = 1/2 OR x = -√1/4 = -1/2 Since the answer in the second equation is positive, so the acceptable answer is x = 1/2. So the number that multiplies to be 1/4 but adds to be 1 is 1/2.
You can re-check your answer (very important): x^2 = (1/2)^2 = 1/4 x+x = 1/2 + 1/2 = 1 The answer has been approved.
