The value of the expression x4−8x3+18x2−8x+2 when x=2+√3 is:
A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C1 x=2+√3 or (x−2)2=3 or x2−4x+1=0……(1) or (x−2)4=9 or x4−8x3+24x2−32x+16=9 or x4−8x3+18x2−8x+2+6(x2−4x+1)−1=0 Using (1), we get x4−8x3+18x2−8x+2=1