Recent content by cyph1e

  1. C

    Can you explain how to solve several AMC 10 problems from the year 2000?

    24) If f( x/3 ) = x^2 + x + 1 then f(x) must have the form a x^2 + b x + c. So let f(x) = a x^2 + b x + c which gives f( x/3 ) = a x^2 / 9 + b x / 3 + c. Identifying coefficients gives a = 9, b = 3 and c = 1. Solving f( 3z ) = 7 yields z1 = -1/3 and z2 = 2/9 which sums to -1/9.
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