Question

What are the solutions of the equation 2x2 = 2? Use a graph of the related function. A. There are two solutions: -1 and 1. B. There are two solutions: -1 and 1. C. There are two solutions: D. There are no real number solutions.

Answer 1

Hello :
2x² = 2
x²=1
x²-1=0
(x-1)(x+1) = 0
x-1=0 or x+1=0
x=1 or x= -1...(answer : B. There are two solutions: -1 and 1 )

Answer 2

Answer:

There are two solutions : -1 and 1.

Step-by-step explanation:

We are given equation in terms of variable  x as:

                  $2x^2=2$

On dividing both side of the equation by 2 we get the equation as:

                  $x^2=1$

This could also be written as:

                $x^2-1=0$

which is further written as:

$(x-1)(x+1)=0$

( Since, we have:

           $a^2-b^2=(a-b)(a+b)$    )

Hence, we have:

 $x=1\ and\ x=-1$

Hence, the graph of this equation ( i.e.  $x^2-1=0$ )will be point of intersection of:

  $y=x^2-1$ and $y=0$