Скачать или смотреть These Simultaneous Equations Stumped Students! Can You Solve Them?

In this math tutorial, we tackle a pair of tricky simultaneous equations that left many students stumped: √(x/y) − √(y/x) = 3/2 and x + xy + y = 9. Watch as we simplify, substitute, and reason our way to the correct values of x and y, step by step. This video is perfect for high school students, senior secondary students, A-level candidates, and math enthusiasts looking to strengthen their algebra and problem-solving skills. If you enjoy challenging math problems, this one will test your logic, algebraic manipulation, and understanding of radicals — and you’ll love the satisfying solution at the end. Subscribe for more math tutorials, Olympiad-level questions, and clever algebra tricks every week.
0:00 – Introduction and problem statement: solving √(x/y) − √(y/x) = 3/2 and x + xy + y = 9
0:15 – Substitution: letting √(x/y) = d and establishing the condition d ≥ 0
0:47 – Rewriting the first equation in terms of d and simplifying
1:10 – Eliminating fractions by multiplying through and forming a quadratic equation
1:40 – Factorizing 2d² − 3d − 2 = 0 using the table method
2:50 – Solving for d and applying the positivity condition (d = 2)
3:25 – Substituting back: finding x/y = 4 and expressing x in terms of y (x = 4y)
4:55 – Substituting x = 4y into the second equation x + xy + y = 9
5:25 – Simplifying to get 4y² + 5y − 9 = 0 and factorizing the quadratic
6:40 – Finding y = 1 or y = −9/4, then computing corresponding x values
7:50 – Checking the first solution (x = 4, y = 1) in both equations
9:45 – Checking the second solution (x = −9, y = −9/4) step by step
12:40 – Final verification and conclusion: both points satisfy the equations
Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks!

#matholympiad #mathtutorial #algebra