An algebra problem by Nathan Laurence

Algebra Level 1

Given a 2 + b 2 = 8 a^2 + b^2 = 8 and a b = 2 ab = 2 , hence or otherwise, solve for the value of ( a + b ) 2 (a+b)^2 .


The answer is 12.

Nathan Laurence by Nathan Laurence , 19, Indonesia

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1 solution

Zee Ell
Nov 19, 2016

( a + b ) 2 = ( a 2 + b 2 ) + 2 ( a b ) = 8 + 2 × 2 = 12 (a + b)^2 = (a^2 + b^2) + 2(ab) = 8 + 2 × 2 = \boxed {12}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

As an aside, a , b a,b are complex numbers here.

Calvin Lin Staff - 4 years, 6 months ago

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