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2x² - 4x + 2p - 1 = 0
a = 2
b = -4
c = 2p - 1
b² - 4ac < 0
(-4)² - 4(2)(2p - 1) < 0
16 - 8(2p - 1) < 0
16 - (16p - 8) < 0
16 - 16p + 8 < 0
-16p + 24 < 0
-16p < -24
16p > 24
p > 24/16
p > 3/2