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If p > -3/2, show that the equation 2x^2 + p = 2(x - 1) has no real roots.

 Feb 27, 2021
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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

 Feb 27, 2021

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