SOLUTION: There is a graphic of the function y=2x+1 (line) and a graphic of the function y=x2-2 (parabola). Find out the points of intersection of the two functions. Draw the graphics and sh

Question 1058499: There is a graphic of the function y=2x+1 (line) and a graphic of the function y=x2-2 (parabola). Find out the points of intersection of the two functions. Draw the graphics and show your calculations.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

Solve for x, and evaluate the corresponding y values.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
----------------------
Subtract (1) from (2)
(2)
(1)
-----------------------

( by inspection )
--------------------------
and
are the solutions
--------------------------
Plug both solutions into either (1) or (2)

(1)
(1)
One intersection is ( 3, 7 )
----------------------------

(1)
(1)
2nd intersection is ( -1, -1 )
-----------------------------
Here's the plot:

My solutions look OK
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