Question

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].

Answer 1

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 )

Answer 2

plse explain me again, i didn't get it..

Answer 3

plsee ..i need urgent

Answer 4

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 )

Answer 5

a

is leading coefficient

Answer 6

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.

Answer 7

Thank You so much..