How many times does the graph of y = x + 1 intersect the graph of #y = x^2 + 3#?

2 Answers
Mar 25, 2018

Answer:

They never intersect.

Explanation:

Let's solve the system and see!

#x + 1 = x^2 + 3#

#0 = x^2 - x + 2#

Now we apply the discriminant (the question asks how many solutions, not what they are).

#X = b^2 - 4ac#

#X = (-1)^2 - 4(1)(2)#

#X = -7#

Since #-7< 0#, this system has no real solutions--the graphs never intersect. We can confirm this by graphing both functions on the same grid.

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Hopefully this helps!

Mar 25, 2018

Answer:

the answer is no intersect between two equation

Explanation:

because intersect means that ther is same Y between #y=x+1#
and #y=x^2+3# so if they intersect there is someting same y
so, lets think #x+1 #= #x^2+3# this eaquation could be #x^2-x+2# but we can't fint the #x# and that means no same y from the insertion of the x

do you under stand?