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secondary 3 | A Maths
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a = 1
b = p + 1
c = 2p - 5
b² - 4ac
= (p + 1)² - 4∙(1p - 5)
= p² - 2p + 25
= (p - 1)² + 24 > 0
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The idea of the discriminant of roots of a quadratic equation actually has its origins from one particular expression in the quadratic formula.