MathDB

1a

Part of 2001 Abels Math Contest (Norwegian MO)

Problems(1)

α + b + c> 0, ax^2 + bx + c = 0$ has no real solutions, prove c>0

Source: Norwegian Mathematical Olympiad 2001 - Abel Competition p1a

2/22/2020
Suppose that a,b,ca, b, c are real numbers such that a+b+c>0a + b + c> 0, and so the equation ax2+bx+c=0ax^2 + bx + c = 0 has no real solutions. Show that c>0c> 0.
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