# In how many distinct points does the graph of: #y = 3/2x^ 2 - 5x - 1/4# intersect e graph #y = -1/2x ^2 + 2x - 7 # in the viewing rectangle [-10,10] by [-15,5]?

##### 1 Answer

Oct 4, 2016

The two graphs do not intersect each other.

#### Explanation:

As we have two intersecting graphs

at intersecting point we will have

or

or

or

As the discriminant

Hence **the two graphs do not intersect each other.**

graph{(y-3/2x^2+5x+1/4)(y+1/2x^2-2x+7)=0 [-10, 10, -15, 5]}