Exploring Math Olympiad Solve This Two Substitutions Turn Eight Brackets Into One Factoring Line

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  • Radical
  • (3x²-3x+18)/10=√(x³+
  • (x³+
  • Algebraic
  • (x-

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(x+ (x+ 7^x+7^(2x)+7^(3x)=14 → Find x Let y=7^x. Then 7^(2x)=y² and 7^(3x)=y³. Equation: y+y²+y³=14. Rearrange: y³+y²+y-14=0. 2

Difference of squares,

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