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Mathematics
John O'neil's user avatar
John O'neil's user avatar
John O'neil's user avatar
John O'neil
  • Member for 1 year, 3 months
  • Last seen more than a week ago
  • California
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I am a retired teacher in the United States of America who loves animals and meeting up with old students

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9
The sum of the digits of a positive integer $n$ is equal to $100$, is it possible that the sum of the digit of $n^3$ is equal to $100^3$?
Jan 14
7
Prove that $F$ is a point such that $PAEF$ is a rectangle then $PF$ bisects $\angle BFC$
Apr 2
7
Prove concurrent lines in a right angled trapezium
Feb 13
5
Prove $\frac{a^2}{b^2} + \frac{b^2}{c^2} + \frac{c^2}{a^2} \ge \frac{b}{a} +\frac{c}{b} +\frac{a}{c}$ for all positive reals
Jan 15, 2025
5
Find the largest n such that 2013 can be written as the sum of squares of n different positive integers
Jan 18, 2025
4
Find the maximum value of the function $f(x) = \sqrt{2x-7} + \sqrt{12-x} + \sqrt{44-x}$ using inequalities
Jan 8, 2025
4
Find the minimum value of $\frac{BX}{FC}$ and find the triangles $\triangle ABC$ when it is possible
Apr 1
4
Prove the expression of lengths from midpoints to the feet of altitudes in $\triangle ABC$
Jan 20
4
Prove that a circle centred on a point on a circle bisects the perpendicular line
Apr 9, 2025
3
Find all polynomials P with real coefficients and positive integer n
Feb 18, 2025