Determine the points of intersection of two graphs defined by y = x^2 + 1 and y = 3x + 5

Question

Determine the points of intersection of two graphs defined by y = x^2 + 1 and y = 3x + 5

anonymous · Answer

there are two points of intersection, (2,-1) and (4,17)...u could have just put it in the calculator!

anonymous · Answer

thanks, but can you kindly show me the solution?

freckles · Answer

I'm sorry I will should how you how to get the solution...or I will walk you through it :)

freckles · Answer

So we have y=x^2+1 and y=3x+5
We want to know when these are these same
So we want to know when x^2+1 is the same as 3x+5
                                      x^2+1          =          3x+5
Can you solve x^2+1=3x+5

freckles · Answer

$$x^2+1-3x-5=0$$
$$x^2-3x-4=0$$
How about this?
This form should look familiar

anonymous · Answer

x=-1
x=4

are those right? btw, thank you for the patience, freckles..

freckles · Answer

(x-4)(x+1)=0
yes thats right! :)