Question 204109
(sqrt2)x^2 -4x -7sqrt2 =0
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1.414x^2 -4x -9.899 =0
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Discriminant(D) = b^2 -4ac,,,,where a=1.414,,b= -4,,,c=-9.899
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D= { (-4)^2 -4(1.414) (-9.899) } = 72
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Rules  for  Discriminant  are:
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D=0,,,one  solution,  curve  intersects  x  axis  in  one  location
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D>0,,, two  solutions,,curve  intersects  x  axis  in  two  locations
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D<0,,,no  Real  solutions,,,curve  does  not  intersect  x  axis
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Finishing  the  quadratic  eqn finds ,,,x= -1.586, +4.415