Calculate the area of the figure bounded by the given parabolas y = 2x ^ 2-6x + 1 y = -x ^ 2 + x-1.
| September 7, 2021 | education
Find the intersection points of the function graphs:
y = 2x ^ 2 – 6x + 1
y = – x ^ 2 + x – 1
2x ^ 2 – 6x + 1 = – x2 + x – 1
3x ^ 2 – 7x + 2 = 0
D = 49 – 24 = 25
x1 = (7 + 5) / 6 = 2
x2 = (7 – 5) / 6 = 1/3
Answer: the area of the figure is 125/54 square units.
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