Polish Math Exam 2026 — Task 6 | Fast Algebra Shortcut

追加: 2026-05-17

[00:00:00]Another task from this year's Polish Matura. This task is really checking whether we recognize a quadratic pattern.

[00:00:07]We could substitute the number immediately and calculate everything term by term, but there is a faster way.

[00:00:12]We could notice that this is a perfect square and rewrite everything as x + 5 squared.

[00:00:19]Now we substitute the value of x.

[00:00:22]-5 and +5 cancel.

[00:00:25]So we're left with square root of 2 to the power of 2. That's simply 2. That's our answer. [music]