# What are the points of intersection of #y=-2x^2-5x+3# and #y=-2x+3#?

##### 2 Answers

#### Explanation:

To find the pts. of intersection of these two curves, we have to solve

their eqns.

These roots satisfy the given eqns.

Hence, the desired pts. of int. are

At points

#### Explanation:

Given -

#y=-2x^2-5x+3#

#y=-2x+3#

To find the intersection point of these two curves, set -

#-2x^2-5x+3=-2x+3#

Solve it for

You will get at what values of

#-2x^2-5x+3+2x-3=0#

#-2x^2-3x=0#

#x(-2x-3)=0#

#x=0#

#x=3/(-2)=-1.5#

When

To find the point of intersection, we must know the Y-cordinate

Substitute

#y=-2(0)+3#

#y=3#

At

#y=-2(1.5)+3=3+3=6#

At