Solve and graph the equation.

Question

l x l = 9

Answer 1

To solve the equation l x l = 9, we need to find the value of l that satisfies the equation.

Taking the square root of both sides of the equation, we have:

|l| = √9

Since the square root of 9 is 3, we have:

|l| = 3

This equation can be rewritten as two separate equations:

l = 3 or l = -3

Therefore, the equation has two potential solutions, l = 3 or l = -3.

To graph the equation, we plot the two solutions on a number line:

-3 3

The graph would have a solid dot at the point -3 and a solid dot at the point 3. The line connecting the two dots would be included (solid line) because the equation includes the absolute value function.