Контрольные задания > B-2 y=-x^2+5, y=x+3
Вопрос:

B-2 y=-x^2+5, y=x+3

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Ответ:

To find the intersection points, set the equations equal to each other:
  1. -x^2 + 5 = x + 3
  2. Rearrange into a quadratic equation: x^2 + x - 2 = 0
  3. Factor the quadratic: (x + 2)(x - 1) = 0
  4. Solve for x: x = -2 or x = 1
  5. Substitute x values back into y = x + 3 to find y:
    • If x = -2, y = -2 + 3 = 1. Point: (-2, 1)
    • If x = 1, y = 1 + 3 = 4. Point: (1, 4)
The intersection points are (-2, 1) and (1, 4).
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