(a) Determine all real numbers x such that (x+3)(x−6)=−14
(b) Determine all real numbers x such that 22x−3(2x)−4=0
(c) Determine all real numbers x such that (x2−3x)2=4−3(3x−x2)
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Problem Statement if f(x)=px+q and f(f(f(x)))=8x+21, and if p,q∈R, then find p+q Problem Link Solution f(x)=px+qp,q∈R $$f(f(f(...
Problem Statement The function f(x) has the property that f(x+y)=f(x)+f(y)+2xy∀x∈N. If f(1)=4, then the numerical value of f(8) is Problem Link ...
Problem Statement The function f has the properties that f(1)=6 and f(2x+1)=3f(x) for every integer x. What is the value of f(63)? Problem Link Solution f(1)=6 $$f(2x...
Fermat 2004 Q24
Fermat 1997 Q19
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