Question

Which graph can be used to find the solution(s) to x2-4x+4=2x-1-x2?

Answer 1

The third graph

Explanation:

edge

Answer 2

`2x^2 - 6x + 5 = 0`

Explanation:

Given is an equation in x.

In order to find the equation, you have to solve it so that it equals 0. Then you can graph it and look for the x-intercepts.

`x^2 -4x + 4 = 2x  - x^2-1`

To solve for this equation we can rewrite this expression as

y = all terms in one side.

To bring all terms to one side and other side 0, we add 1 first.

`x^2 -4x + 5 = 2x  - x^2`

Now add -(2x-x^2) to both sides.

`2x^2 - 6x + 5 = 0`

Hence it is sufficient now to graph

`y =2x^2 - 6x + 5`

The x intercepts occur when y =0

In other words, the solution for the given equation is nothing but the x intercepts of this graph.