Question

What are the two points of intersection. like what numbers would you put in the table of x and y?

Answer 1

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]