Q:

What are the two solutions of x2 – 2x – 4 = –3x + 9?the y-coordinates of the y-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9the x-coordinates of the x-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9the y-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Accepted Solution

A:
Answer:The solutions of:[tex]x^2-2x-4=-3x+9[/tex] are:The x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9Step-by-step explanation:Solution to a system of equation--A solution to a system of equation are the possible values of x that satisfy both the equation.These are obtained by finding the x-coordinate of the point of intersection of the equations i.e. the point where the y-values is equal.Hence, the given can be solved by finding the points of intersection of the graph:[tex]y=x^2-2x-4[/tex] and [tex]y=-3x+9[/tex] and then taking the x-coordinate of the point.