If p > -3/2, show that the equation 2x^2 + p = 2(x - 1) has no real roots.
2x^2 + p = 2x - 2
2x^2 - 2x + (p + 2) = 0
Discriminant = b^2 - 4ac = 4 - 4(2)(p+2) = -8p - 12
p > -3/2 ==> discriminant < 0
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