Answer:
Step-by-step explanation:
We have two points
(
6
,
8
)
and
(
−
2
,
0
)
Explanation:
To find number of points of intersection, we should solve these pair of equations.
As
y
=
x
+
2
, we have
2
x
2
−
(
x
+
2
)
2
=
8
or
2
x
2
−
x
2
−
4
x
−
4
=
8
or
x
2
−
4
x
−
12
=
0
or
x
2
+
2
x
−
6
x
−
12
=
0
or
x
(
x
+
2
)
−
6
(
x
+
2
)
=
0
or
(
x
−
6
)
(
x
+
2
)
=
0
and hence
x
=
6
or
−
2
putting these values in
y
=
x
+
2
, we get
y
=
8
or
0
Hence, we have two points
(
6
,
8
)
and
(
−
2
,
0
)
graph{(y-x-2)(2x^2-y^2-8)=0 [-8, 12, -0.6, 9.4]
