The roots of the quadratic equation (a +...

The roots of the quadratic equation `(a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0` are

A

a+b +c and a-b+c

B

`1/2 and a-2b +c`

C

`a-2b +c and (1)/( a+b-c)`

D

None of these

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Show that the roots of the quadratic equation: (b - c)x^(2) + (c - a) x + (a - b) = 0 are equal if c + a = 2b.

If the roots of the quadratic equation (a-b) x^(2) + (b - c) x + (c - a) =0 are equal , prove that b +c = 2a

Find the roots of quadratic equation ax^(2) + (a-b + c) x - b +c = 0 .

If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)x^(2) + (c + a - b)x + (a + b - c) = 0 , are

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If a,b and c are positive numbers in a GP,then the roots of the quadratic equation (log_(e)a)^(2)-(2log_(e)b)x+(log_(e)c)=0 are