Question

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 + 9
the x-coordinates of the x-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9
the y-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9
the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Answer 1

D

Explanation:

Just took the Quiz

Answer 2

The solutions of:

`x^2-2x-4=-3x+9` are:

The x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

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:

`y=x^2-2x-4` and
`y=-3x+9` and then taking the x-coordinate of the point.