Question

Which graph can be used to find the solution(s) to x2 – 1 = 3?

Answer 1

We have to find the graph that can be used to find the solution of :

`x^2-1=3`

We are given an inequality we can equate this equality to a new variable 'y' such that:

`x^2-1=3=y`

i.e. we get a system of equations as:

`y=x^2-1`

and
`y=3`

Hence, the solution will be the x-value of the point of intersection of the system of equations.

The point of intersection are:

(-2,3) and (2,3).

Hence, the solution of the equation is:

x=2 and x= -2.