Intro to the Quadratic Formula

Explanations 2

• Show that the equation (m2+n)(n2+m)=2(m−n)3(m^2+n)(n^2+m) = 2(m-n)^3(m2+n)(n2+m)=2(m−n)3 has no solutions in (m,n)(m, n)(m,n) where (m,n)(m, n)(m,n) are positive integers.

  By Franklyn Wang

• Try this! Find the value of 1+11+11+1⋯.1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{\cdots}}}.1+1+1+⋯1​1​1​. Let x=1+11+11+1⋯.x = 1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{\cdots}}}.x=1+1+1+⋯1…

  By Vinjai Vale