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a guest Nov 14th, 2019 72 Never
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  1. (2y + 5)²  + y²  =  5      simplify
  2. 4y² + 20y + 25 + y²  = 5
  3. 5y² + 20y +20  = 0      divide through by 5
  4. y² + 4y + 4  =  0      factor
  5. (y + 2)²  = 0        take the square root of both sides
  6. y + 2   = 0
  7. y  = -2
  8. And x  = 2(-2) + 5   =  1
  9. x=-4+5=1
  10. x=1
  11. Point of intersection = (1,-2)
  12.  
  13. Negative reciprocal gradient + touching at one point = tangent to circle.
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