8) If the roots of the equation x4 ...
Question
Fullscreen

8) If the roots of the equation x4 + 2x3 -3x2+2x-1=0 are a,, az, az, a, then find (2-a) (2-a) (2-3) (2-2)

JEE/Engineering Exams
Maths
Solution
164
Rating
4.0 (1 ratings)
Fullscreen
( # quad ) St ( quad x^{2}+2 x^{3}-3 x^{2}+2 x-1=0 quad ) has ( 4 operatorname{ros} theta ) ( a_{1}, a_{2}, a_{3}, a_{4} ) they ( x^{4}+2 x^{3}-3 x^{2}+2 x-1=(x-9)left(x-a_{2}right)left(x-a_{3}right)left(x-a_{4}right) ) ( therefore ) to finder the value of (-9,1)( left(2-a_{2}right)left(2-a_{3}right)left(2-a_{4}right) ) All we neted to do is plug ( x=2 ) in ( x^{64}+2 x^{3}-3 x^{2}+2 x-1 ) ( =2^{4}+2 times 2^{3}-3 times 2^{2}+2 times 2-1 ) ( =16+16-12+4-1 ) ( =23 )
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free