Answer :
Square root is essentially the opposite of squaring a number. You're looking for whatever was multiplied by itself to get the answer. While it is natural to look at the positive square root, a lot of people forget there is a negative square root as well. Your problem involved √49. We know that 7*7 is 49. We also know that (-7)(-7) is 49. That's where your two answers come in. When you come to the point of taking the square root you have
[tex]\sqrt{(x-3)^2}=\sqrt{49} \\x-3= 7 \text{ or } x-3=-7[/tex]. Thus, two answers.
[tex]\sqrt{(x-3)^2}=\sqrt{49} \\x-3= 7 \text{ or } x-3=-7[/tex]. Thus, two answers.