ATLASBetaSearch subjects

Subjects

Ancient HistoryComing soon

Biology Business Studies

ChemistryComing soon

EngineeringComing soon

English Advanced English Ext 1 English Standard

English StudiesComing soon

Enterprise ComputingComing soon

Health & MovementComing soon

Legal Studies Maths Advanced Mathematics Ext 1 Mathematics Ext 2

Maths Standard 1Coming soon

Maths Standard 2Coming soon

Modern HistoryComing soon

Physics Religion I Religion II

Visual ArtsComing soon

Save your favourites

Accounts and progress tracking are coming later.

Coming later

2022 Mathematics Extension 2 Q15 (a) (i) | HSC Atlas

← Back to Mathematics Extension 2 questions

2022TrialShort answer

Q15 (a) (i)

1 mark

Question

Show that $a^2+9b^2\ge6ab$ , where $a$ and $b$ are real numbers.

Try the question before revealing the answer.

Solution

$(a-3b)^2\geq0$
$a^2-6ab+9b^2\geq0$
$a^2+9b^2\geq6ab$

AI HSC Engine generated solution · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Proof

The Nature of ProofUse formal proof language, contradiction, counter-examples and rigorous arguments involving numbers and inequalities.

Source

Fort St 2022 4U Trial PaperFort StQuestion paper page 11View original source ↗

Spot a problem? Send feedback

WebsiteWhat needs attention?Tell us what looks wrong

Please do not include your name, school, or other personal details.