Home
Class 11
MATHS
One root of the equation ax^(2)-3x+1=0 ...

One root of the equation `ax^(2)-3x+1=0` is `(2+i)`. Find the value of `'a'` when `a` is not real.

Text Solution

Verified by Experts

The correct Answer is:
N/a

`a=(27-11i)/(25)`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5E|10 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5F|10 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5C|14 Videos
  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Example|68 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

If one root of the equation 2x^2+2x+k=0 is (-1/3) then find teh value of k

If one root of the equation 2x^(2)-6x+c=0 is (3+5i)/(2), then the real value of c will be

If one root of the quadratic equation 3x^(2) +px+4=0 is 2/3 , then find the value of p and the other root of the equation. OR The roots alpha and beta of the quadratic equation x^(2) -5x+3(k-1)=0 are such that alphabeta =1. Find the value k.

If one root of the equation ax^(2)+x-3=0 is -1, then what is the other root?

If one of the roots of the equation ax^(2) + x - 3=0 is -1.5 , then what is the value of a ?

(i) Find the value of k for which x=1 is a root of the equation x^(2)+kx+3=0. Also, find the other root. (ii) Find the values of a and b for which x=(3)/(4)" and "x=-2 are the roots of the equation ax^(2)+bx-6=0.

If for all real values of a one root of the equation x^(2)-3ax+f(a)=0 is double of the other,then f(x) is equal to

A real value of a, for which the sum of the roots of the equation x^(2)-2ax+2a-1=0 is equal to the sum of the square of its roots, is

If one root of the equation 3x^2-8x+2k+1=0 is seven times the other, find the two roots and the value of k