Posted by **sapna** on Tuesday, December 4, 2012 at 2:02am.

If ax^2 + bx + c = 0 If a,b,c E R. Find the condition that this equation would have atleast one root in [0,2].

- maths -
**Bosnian**, Tuesday, December 4, 2012 at 3:15am
a x ^ 2 + b x + c = a ( x - x1 ) ( x - x2 )

In this case :

a x ^ 2 + b x + c = a ( x - 0 ) ( x - 2 ) = a x ( x - 2 ) = a ( x ^ 2 - 2 x )

- maths -
**sapna**, Tuesday, December 4, 2012 at 7:39am
plse explain me again, i didn't get it..

- maths -
**sarika**, Tuesday, December 4, 2012 at 9:23am
plsee ..i need urgent

- maths -
**Anonymous**, Tuesday, December 4, 2012 at 9:56am
If x1 and x2 are two roots of equation

a x ^2 + b x + c =0

then

a x ^ 2 + b x + c = a ( x - x1 ) ( x -x2 )

- maths -
**Bosnian**, Tuesday, December 4, 2012 at 9:59am
a

is leading coefficient

- maths -
**Bosnian**, Tuesday, December 4, 2012 at 10:03am
That is true for any value of a

example:

3 ( x ^ 2 - 2 x ) = 0

has roots 0 and 2

7 ( x ^ 2 - 2 x ) = 0

has roots 0 and 2

39 ( x ^ 2 - 2 x ) = 0

has roots 0 and 2

etc.

- maths -
**sapna**, Tuesday, December 4, 2012 at 11:32am
Thank You so much..

## Answer This Question

## Related Questions

- add maths - Given that the quadratic equation is (2m+3)x^2+(4m-2)x-(m+1)=0.Find ...
- Algebra - For what value(s) of b will x^2 + bx + 3 have exactly one root? I'm ...
- MATHS STATISTICS - A. According to an estimate, 50% of the people in the United ...
- probability - among the exames in the examination 30%, 35% & 45% failed in ...
- statistics - among the exames in the examination 30%, 35% & 45% failed in ...
- maths - a)If one root of the equation x^2 + a(3a-5)x = 2(x+4a) is negative of ...
- maths - Consider the quadratic equation m^2 x^2 + 2(2m-5)x + 8 = 0 a) If 2 is a ...
- Additional maths - Given one of the roots of the quadratic equation x^2+kx=12 is...
- maths quartic equation need help - the quartic equation x^4+2x^3+14x+15=0 has ...
- maths surds please help and explain - Simplify A.1/root a +2 b.root 18/25 c.root...

More Related Questions