Algebra

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18 Sep 2011 14:22:23 IST
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quadratic equations
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

what is the number of quadratic equations having the roots whose sqaures are also the roots of the same equation??(ans) 4brilliant tutorials quadratic equations package iit jee problems ques 1how to do this question?



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Sambit Senapati's Avatar

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19 Sep 2011 17:00:43 IST
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 The answer is 3. The only no.s which dont change on squaring are 1 and 0.

So, the roots can be (0,0), (1,0), (0,1) and (1,1)

There are only 3 quadratic equations possible with these roots. So the answer is 3.


New kid on the Block

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19 Sep 2011 17:54:15 IST
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ohh ohhk..thanks!

New kid on the Block

Joined: 18 Sep 2011
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19 Sep 2011 18:12:23 IST
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 ohh thanks

Sambit Senapati's Avatar

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20 Sep 2011 13:43:06 IST
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 you are welcome

Hari Shankar's Avatar

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21 Sep 2011 21:25:18 IST
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 You have missed the roots  where  is a cube root of unity. So, the quadratic  also has this property

Sambit Senapati's Avatar

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22 Sep 2011 13:30:30 IST
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Ya, you are right sir. It is 4 then. 


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22 Sep 2011 16:40:34 IST
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i don't think the asnwer is wrong firstly 0,0 can not be roots of quadratic second you missed out something try going with basics

New kid on the Block

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22 Sep 2011 16:41:29 IST
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sry mistyping i think the answer is wrong



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