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

**Solution:**

Given x^{2} - 4x + 4 = 2x - 1 - x^{2}

⇒ Sorting like terms,

x^{2 }+ x^{2 }- 4x - 2x + 4 +1 = 0

2x^{2 }- 6x + 5 = 0

The quadratic graph can be used to find the solution(s).

From the graph, we see that it doesn’t cut the x-axis at all. Thus we can infer that no real solution exists for the given quadratic expression.

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

**Summary:**

To find the solution(s) to x^{2} - 4x + 4 = 2x - 1 - x^{2} ⇒ 2x^{2 }- 6x + 5 = 0, a quadratic graph can be used. As the graph doesn’t cut the x-axis, we can infer that no real solution exists for the given quadratic expression.

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