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.”
{−9} left brace negative 9 right brace {9} left brace 9 right brace There are no real solutions. There are no real solutions. {−9,9} left brace negative 9 comma 9 right brace
Using inspection, we can determine that the solutions to the equation x^2 = 81 are x = -9 and x = 9. Therefore, the complete solution set is {-9, 9}.
To solve the equation x^2 = 81 using inspection, we need to find the values of x that make the equation true.
Taking the square root of both sides of the equation, we have:
√(x^2) = √(81)
Simplifying this, we get:
|x| = 9
This means that x could be either positive 9 or negative 9. Therefore, the complete solution set for the equation x^2 = 81 is:
{-9, 9}
To solve the equation x^2 = 81 using inspection, we take the square root of both sides. Remember that a positive number has two square roots, one positive and one negative.
Taking the square root of both sides, we get:
√(x^2) = √81
Simplifying, we have:
|x| = 9
Now, we have two cases to consider:
Case 1: x is positive
If x is positive, we have:
x = 9
Case 2: x is negative
If x is negative, we have:
x = -9
Therefore, the complete solution set for the equation x^2 = 81 is {-9, 9}.