Kailee1423
  • Kailee1423
The line y = 8x – 4 intersects the parabola y = x2 + 2x + 5 at exactly one point. What are the coordinates of the point of intersection?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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TrojanPoem
  • TrojanPoem
The intersection means that there is a point on both of the line and the parabola see the approximate figure: |dw:1447613211577:dw|
TrojanPoem
  • TrojanPoem
So we can solve both equation together : 8x - 4 = x^2 + 2x + 5 x^2 - 6x + 9 = 0 (x - 3)(x-3) = 0 x = 3 y = 8 * 3 - 4 = 24 - 4= 20 So the point is (3,20)
Kailee1423
  • Kailee1423
Thank you,!!!!!

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TrojanPoem
  • TrojanPoem
You're welcome.

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