Question 204109: Could someone help me understand this problem?
Determine the number of solutions and classify the type of solutions for the following equation and justify the answer.
sqrt2 x^2 - 4x - 7 sqrt2=0
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! (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
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