In this video, we solve the algebraic radicals Vx + x = 4 using a powerful quadratic technique. You'll learn: How to recognize radical expressions The substitution trick used in Olympiad-style algebra How radicals can be transformed into quadratics How to apply quadratic formula Perfect for students preparing for algebra tests, math contests, Olympiads, SAT, ACT, and competitive exams. Watch until the end for a complete beginner-friendly explanation! math puzzle algebra trick square root equations radical equations olympiad algebra competitive math algebra problem-solving system of equations substitution method math tutorial math shorts iit foundation math sat math act math math contest questions #Math #Algebra #MathPuzzle #SquareRoot #OlympiadMath #CompetitiveMath
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Let y=sqrt(x) y²+y-4=0 Y=(-1±sqrt(17))/2 since y>=0 Y=(-1+sqrt(17))/2 Y²=(18-2sqrt(17))/4=(9-sqrt(17))/2=x
You can also start out by recognizing the equation is quadratic in form x+x^(1/2)-4=0 u^2+u-4=0. [ Let u=x^2 ]