Solve x^2=36 by inspection. There are two real solutions. Enter the lesser number first
By inspection, we can see that the two real solutions to the equation x^2 = 36 are 6 and -6. Therefore, the lesser number is -6.
To solve the equation x^2 = 36 by inspection, we can take the square root of both sides of the equation. Since there are two real solutions, we will consider both the positive and negative square roots.
Taking the square root of both sides, we have:
x = ± √36
Simplifying the square root of 36, we get:
x = ± 6
The two real solutions to the equation x^2 = 36 are 6 and -6. Since we need to enter the lesser number first, the answer is -6 followed by 6.
To solve the equation x^2 = 36 by inspection, we need to find the values of x that satisfy this equation.
First, we can take the square root of both sides of the equation:
√(x^2) = √36
This gives us two possibilities:
x = √36 or x = -√36
Simplifying further:
x = 6 or x = -6
Since the prompt mentions that there are two real solutions and asks for the lesser number first, the solution would be x = -6.