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Algebra

Blazing goIITian

Joined:	13 Aug 2008
Post:	1313

25 Feb 2009 20:26:53 IST

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361

matrix match in PT 3 ...

None

If a, b, c, d are Real nos. satisfying a² + b² + c² + d² - ab - bc - cd - d + 2/5 = 0

then

{this was match d foll. ans}

c = a + b

b = d/2

d = a + c

a = c/3

Prove it.

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Comments (3)

Tiger on prowl.......

Blazing goIITian

Joined: 27 Sep 2008

Posts: 545

25 Feb 2009 20:48:35 IST

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please check the question:

according to the given answers ,we have c=3a,b=2a,d=4a.

all the four given equations are equivalent to these three equations.

substituting this in the given condition,we get 10a^2-4a+2/5=0 which equals 50a^2-20a+2=0 which has complex roots.

please verify the question!!!

sorry if explanation is wrong....

Mirka

Blazing goIITian

Joined: 13 Aug 2008

Posts: 1313

26 Feb 2009 07:37:34 IST

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Qsn is right ... u find that the values that satisfy are a = 1/5, b = 2/5, c = 3/5 and d = 4/5 ... and d eqn doesnt have complex roots, it has equal roots ...

Ankit Rana

Blazing goIITian

Joined: 29 Nov 2008

Posts: 461

27 Feb 2009 20:09:26 IST

Like 6 people liked this

Sorry i've written da instead of d

just replace da by d

solution is correct

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