Consider the equation x²+1=7−xx.
a. verify that this has the solution set {−3,2}. draw this solution set as a graph on the number line. we will later learn how to show that these happen to be the only solutions to this equation.
b. let’s add 4 to both sides of the equation and consider the new equation x²+5=11−x. verify 2 and −3 are still solutions.
c. let’s now add x to both sides of the equation and consider the new equation x²+5+x=11. are 2 and −3 still solutions?