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If x+y+z=5 and xy+yz+xz=3, what is the max and min of z?
Vieta’s Formula--What and why?
The second way to solve:" If x+y+z=5 and xy+yz+xz=3, what is the max and min of z?"
S and t are real numbers, satisfy 19s^2+99s+1, t^2+99t+19=0. s≠0, st≠0 What is (st+4s+1)/(t)?
Alternate Segment Theorem—What and Why?
CMO (Canadian Mathematic Olympiad) 1969, #5
What is the value of cos20°×cos40°×cos80°?
Inequality Question
Angle Bisector Theorem—What and Why?
Angle at the centre theorem (central angle theorem)—What and Why?
AM ≥ GM—What and Why?
AOIME (AIME 2020) Question 11
