LEARN · EXPLAIN · REVISE

Minimize the sum of two positive numbers with this product.

Read the idea, work independently, then explain what changed.

TOPIC 01

Quadratic functions, equations and inequalities: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Transfer#Your turn

ab=144

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Check nonnegativity, apply AM–GM and verify attainable equality.

Hint 2

With fixed product, AM–GM gives a lower sum bound.

Worked solution

The requested value is 24.

Checks and common pitfalls: Give an equality pair to prove attainment.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment