Question icon
Grade 12th passAlgebra

If the roots α and β of the equation aX^2 + bX +c = 0 are real and opposite then the roots of the equation α(x -β)^2 +β(x -α)^2 is are (1) positive (2) negative (3) real and opposite sign(4) Imaginary

Profile image of Vikash Kumar Singh
8 Years agoGrade 12th pass
Answers icon

1 Answer

Profile image of Saurabh Koranglekar
6 Years ago
Dear student

Consider the roots 4 and -4

then a=1 b=0 and c = -16

the required equation is

4(x+4)^2 -4(x-4)^2

Now you can proceed

Regards