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Algebra

New kid on the Block

 Joined: 18 Sep 2011 Post: 18
18 Sep 2011 14:22:23 IST
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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?

Hot goIITian

Joined: 13 May 2011
Posts: 138
19 Sep 2011 17:00:43 IST
4 people liked this

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

Joined: 18 Sep 2011
Posts: 18
19 Sep 2011 17:54:15 IST
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ohh ohhk..thanks!

New kid on the Block

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

Hot goIITian

Joined: 13 May 2011
Posts: 138
20 Sep 2011 13:43:06 IST
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you are welcome

Forum Expert
Joined: 28 Feb 2007
Posts: 2217
21 Sep 2011 21:25:18 IST
1 people liked this

You have missed the roots  where  is a cube root of unity. So, the quadratic  also has this property

Hot goIITian

Joined: 13 May 2011
Posts: 138
22 Sep 2011 13:30:30 IST
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Ya, you are right sir. It is 4 then.

New kid on the Block

Joined: 12 Aug 2011
Posts: 13
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

Joined: 12 Aug 2011
Posts: 13
22 Sep 2011 16:41:29 IST
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sry mistyping i think the answer is wrong

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