Math Olympiad Question | Solving a Nice If-the Question Involving Radicals in 2 Ways

🔴 You Can't Solve This System of Equations | Solving a Nice System of Equations with 3 Variables | Math Olympiad Question

Today we are going to solve an if-then question, where we have a radical equation and we are supposed to solve for a radical expression.

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topics covered in this video:
If-then Question
Radical Expressions
Solving Radical Equation
Radicals
Rationalize the Denominator
Substitution Method
Math Olympiad Question

#IfThenQuestion #Radicals #SolveForX #MathOlympiadProblem #ChallengingMathProblem

[NadiehFan]

Your second method is still unnecessarily complicated. Divide both sides of

x − √x = 4

by √x to get

√x − 1 = 4/√x

Then we immediately find that

x − 4/√x = x − (√x − 1) = x − √x + 1 = 4 + 1 = 5