Home » Ask & Discuss » Mathematics. » Algebra « Back to Discussion

Algebra

Blazing goIITian

Joined:	21 Dec 2007
Post:	1025

5 Sep 2008 09:38:05 IST

0 People liked this

773

QUADRATIC EQUATIONS

None

QUADRATIC

1.what are real zeroes???????

2.is rational or irrational???

3.whats the condition for an equation to have atleast 2 real roots,one real root

plzz tell me everything related to this atmost 2 real roots , atleast 2 real roots,atmost one real root,atmost 2 real root [ for polynomials to the power greater than 2 i mean cubic equations and so on]

plzzz answer my doubts

Share this article on:

Comments (7)

BALGANESH

Blazing goIITian

Joined: 21 Dec 2007

Posts: 1025

5 Sep 2008 11:18:51 IST

Like 0 people liked this

someone answer plzzz
urgent

®µD®A

Blazing goIITian

Joined: 12 Apr 2008

Posts: 2717

5 Sep 2008 11:24:13 IST

Like 2 people liked this

1) Roots are called real if they have no imaginary part.

2) $\frac{\sqrt{2}+1}{3}$ is irrational.

3) for real roots the discriminant must be greater that or equla to zero.

i.e $b^2-4ac\ge 0$

djdylan2000. bits goa eee

Blazing goIITian

Joined: 7 Feb 2007

Posts: 1608

5 Sep 2008 13:02:43 IST

Like 1 people liked this

for 2 real roots D>0

For 1 real root D=0

For no real root D<0

where D= b^2-4ac

BALGANESH

Blazing goIITian

Joined: 21 Dec 2007

Posts: 1025

5 Sep 2008 14:11:33 IST

Like 0 people liked this

well about the atmost 2 real roots , atleast 2 real roots,atmost one real root,atmost 2 real root
i was asking for polynomials with power greater than 2
i know for quadratic

Soumik

Blazing goIITian

Joined: 31 Jul 2008

Posts: 1266

5 Sep 2008 15:47:10 IST

Like 0 people liked this

REAL ZEROS MEAN REAL ROOTS

Decoder

Blazing goIITian

Joined: 1 Apr 2007

Posts: 1084

12 Sep 2008 13:13:22 IST

Like 0 people liked this

for higher it obviously depends..odd power or even power..

sebin

Hot goIITian

Joined: 6 Sep 2008

Posts: 174

25 Oct 2008 21:11:30 IST

Like 2 people liked this

use descartes rule of signs
maximum no of +ve real roots of polynomial equation f(x)=0 is the no of sign changes in f(X) and max no of -ve roots of f(x)=0 is no of sign changes in f(-x)
x^3+5x^2+7X-4=0
sign is +++- sign change =1 so 1 +ve root
x^4+3x^2+5 has no real roots since there is no sign change in f(x) and f(-x)

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team