Complex Numbers And Quadratic Equations question 811
Question: If two roots of the equation $ x^{3}-3x+2=0 $ are same, then the roots will be [MP PET 1985]
Options:
A) 2, 2, 3
B) 1, 1, -2
C) - 2, 3, 3
D) -2, -2, 1
Show Answer
Answer:
Correct Answer: B
Solution:
Given equation is $ x^{3}-3x+2=0 $
Þ $ x^{2}(x-1)+x(x-1)-2(x-1)=0 $
Þ $ (x-1)(x^{2}+x-2)=0 $
Þ $ (x-1)(x-1)(x+2)=0 $ Hence roots are $ 1,1,-2 $
BETA
