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Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3

Math Feb 04, 2021

Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is shown below.

What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?

Expert Solution

The solution of the equation  are the x-coordinates of common points on the graphs of the function  and 

As you can see from the attached diagram these graphs intersect at points (0,3) and (2,3), then the solutions of the previous equation are x=0 and x=2.

Answer: x=0, x=2.

PFA

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