Final answer:
To find where the graphs of y = 76 and y = x² - 5 intersect, you equate the two equations to find x² = 81, which gives the possible values of x as 9 and -9.
Step-by-step explanation:
To find a possible value of x where the graphs of the equations y = 76 and y = x² - 5 intersect, we can set the equations equal to each other since at the point of intersection, the y values will be the same. This gives us the equation:
76 = x² - 5
Adding 5 to both sides, we get:
81 = x²
Taking the square root of both sides gives us two potential solutions for x:
x = 9 or x = -9
Therefore, possible values of x are 9 and -9.