MASTER Simultaneous Equations in Minutes with This Proven Technique!

MASTER Simultaneous Equations in Minutes with This Proven Technique!
In this algebraic video, we'll explore how to solve a challenging simultaneous equations. Whether you're a math enthusiast or a student seeking to improve your problem-solving skills, these strategies will enhance your understanding and boost your confidence. We'll break down solution step-by-step, providing clear explanations and examples to ensure you grasp the concepts. Don't miss out on mastering these valuable techniques!
Topics covered:
Simultaneous equations
Algebra
Problem solving
Algebraic identities
Algebraic manipulations
Solving systems of equations
Factorization
Pascal triangle
Quadratic Equation
Radical equations
Substitutions
Binomial expansion
Math tutorial
Math Olympiad
Math Olympiad Preparation
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[@Lemda_gtr]

Great

[@Quest3669]

X&y> 0
(X; y)=( 9; 1); (1; 9)

[@RashmiRay-c1y]

Let √x √y = t. Then, x^3/2 + y^3/2 = (x^1/2+y^1/2)[x+y-t] = 4(16-3t) = 64-12t and (x^1/2+y^1/2)^5 = 1024 = x^5/2+y^5/2 + 5t(64-12t) +40t^2 = 244/9 t^2 -20t^2 +320t > t^2+45t-144=0. Now t is positive. So, t =3 > √x √y = 3 and √x + √y=4 > (x,y) = (9,1), (1,9).