Question 204107
Your  answers  are  correct,,,,very  good.
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They  want  us  to  recognize  the  value  of  the  DISCRIMINANT ,,(b^2 -4ac)
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with  a=1,,,,b=3,,and, c= -15),,,,D={(3)^2- 4(1)(-15)}={9+60}=69
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The  discriminant  rules  are:
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D=0,,,one  solution,  curve  intersects  x  axis  at  one  location 
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D>0,,,,two  solutions,,,as in this case,curve intersects  x  axis in  2  locations
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D<0,,,,no  Real  solutions,,,,,,,,curve  does  not  intersect  x  axis