Home
Class 12
MATHS
If one root of the quadratic equation ix...

If one root of the quadratic equation `ix^2-2(i+1)x +(2-i)=0,i =sqrt(-1)` is `3-i`, the other root is

A

`3+i`

B

`3+sqrt(-1)`

C

`-1+i`

D

`-1-i`

Text Solution

Verified by Experts

The correct Answer is:
D
Since all the coefficients of given equation are not real.
Therefore, other root `!=3+i`
Let other root be `alpha`.
Then sum of the roots`=(2(1+i))/i`
`impliesalpha+3-i=(2(1+i))/i`
`impliesalpha+3-i=2-2i`
`:.alpha=-1-i`
Promotional Banner

Similar Questions

Explore conceptually related problems

If one root of the quadratic equation ix^2-2(i+1)x +(2-i)=0,i =sqrt(-1) is 2-i , the other root is

What are the roots of the quadratic equation sqrt(3)x^(2)-2x-sqrt(3)=0 ?

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

What are the roots of the quadratic equation x^(2)+(sqrt(3)+1)+sqrt(3)=0 ?

If one of the roots of the quadratic equation 6x^(2)-x-2=0 is 2/3 . Find the other.

If (1-p) is a root of the quadratic equation x^(2)+p x+(1-p)=0 then its roots are

If one roots of the equation x^(2)-sqrt(5)x-19=0 is (9+sqrt(5))/2 then find the other root.

If the roots of a quadratic equations are 0 and -(1)/( 2), the equations is:

Find the roots of the quadratic equation 3x^(2)-2sqrt(6)x+2=0 by formula method.

Find the roots of the quadratic equation 3x^2 -2sqrt6 x + 2 =0 by formula method.