For any integers x and y, where x ≠ y, the operation x ★ y = | x^2 - y^2(x - y)|. What is the result of 5★3?

For any integers x and y, where x ≠ y, the op… | GMAT Sprint

Free Practice Question

PS · Problem Solving

sub-505

Absolute Values/Modules

For any integers x and y, where $x ≠ y$ , the operation $x ★ y = |\frac{x^2 - y^2}{(x - y)}|$ . What is the result of 5★3?

Correct answer marked below

Correct

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official

For any integers x and y, where

x ≠ y

, we have

x ★ y = |\frac{x^2 - y^2}{(x - y)}|

. To find 5★3, we…

Comments

sihemJan 21, 2025

Amazing

YuteeshMar 15, 2024

thanks!

What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.