Home
Class 12
MATHS
For a alt=0, determine all real roots of...

For a `alt=0,` determine all real roots of the equation `x^2-2a|x-a|-3a^2=0.`

Text Solution

Verified by Experts

The correct Answer is:
`{(1-sqrt2)a,(-1+sqrt6)a}`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|3 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|17 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise For Session 4|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|24 Videos

Similar Questions

Explore conceptually related problems

The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

Real roots of the equation x^(2/3)+x^(1/3)-2=0 are:

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

Find the roots of the equation 3x^2-2sqrt6x + 2=0

The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is

The roots of the equation 12 x^2 + x - 1 = 0 is :

The number of real roots of the equation e^(x - 1) + x - 2 = 0 is

If |a|<|b|,b-a<1 and a,b are the real roots of the equation x^2-|alpha|x-|beta|=0, then the equation log_(|b|)|x/a|-1=0 has

Find all roots of the equation X^(6)-X^(5)+X^(4)-X^(3)+X^(2)-X+1=0.

Find the roots of the equation 2x^2-5x+3=0 , by factorisation.

Home
Profile