The graph of y = x2 - 4x is shown on the grid. By drawing the line y = x -4,
solve the equations:
y = x²- 4x
y=x-4

x=1 y=...
or
x=... y=...

Attached pleased find the screen grab of the graph with the line y = x - 4 included

The solution of the system of equations, y = x² - 4·x and y = x - 4 is directly found from the graph by the points of the intersection of the lines y = x² - 4·x and y = x - 4 which are (4, 0) and (1, -3)

x = 1 y = -3

or

x = 4 y = 0

Step-by-step explanation:

To verify, we have;

Equations y = x² - 4·x and y = x - 4 can be solved where they are equal as follows

Thus equating the value of y in both equations gives;

x² - 4·x  = x - 4

x² - 4·x -x - 4 = 0

x² - 5·x  + 4 = 0

(x - 4) × (x - 1) = 0

Therefore; x = 4 or 1

When x = 4, y = x - 4 = 1 - 4 = -3.

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: