SOLUTION: I'm stuck on this one: determine whether the following equation has a real or complex solution √2x^2 -4x-7√2=0

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Question 193566: I'm stuck on this one:
determine whether the following equation has a real or complex solution
√2x^2 -4x-7√2=0
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
You need to find the value of the discriminant of the equation.
If the discriminant > = 0, then the equation has real solutions. Otherwise only complex solutions.
Recall that
The discriminant = b%5E2+-+4ac for equation ax%5E2%2Bbx+%2Bc=0
So
The discriminant =
=%28-4%29%5E2-4%2Asqrt%282%29%2A%28-7sqrt%282%29%29
=16%2B56
=72 > 0
So the equation has 2 real roots