Use inspection to solve the equation x2=81 , then select the complete solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
To solve the equation x^2 = 81 using inspection, we need to find the values of x that satisfy this equation.
First, let's take the square root of both sides of the equation:
√(x^2) = √81
Simplifying, we have:
|x| = 9
Now, we consider the two possibilities:
1) x = 9: If x = 9, then substituting it back into the equation, we have 9^2 = 81, which is true. So x = 9 is a solution.
2) x = -9: If x = -9, then substituting it back into the equation, we have (-9)^2 = 81, which is also true. So x = -9 is also a solution.
Therefore, the complete solution set is {x = 9, x = -9}.