BITSAT2010MathematicsComplex NumberActual
The roots of the equation (x^2-2 2 x+1=0 ) are
Options
- AReal and different
- BImaginary and different
- CReal and equal
- DRational and different
Correct answer
A. Real and different
Step-by-step solution
The discriminant of the equation ((-2 2 )^2-4(1)(1)=8-4=4 > 0 ) and (a ) perfect square, so roots are real and different but we can't say that roots are rational because coefficients are not rational therefore. ( 2 2 (2 2 )^2-4 2 = 2 2 2 2 = 2 1 ) this is irrational ( ) the roots are real and different.