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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
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.
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