If x = 1 + √2 + √3, then find the value of x2 - 2x + 4.
A. 2(7 + √6)
B. 2(4 + √6)
C. 2(3 + √7)
D. (4 + √6)
Answer: Option B
Solution (By Examveda Team)
x = 1 + √2 + √3⇒ x - 1 = √2 + √3
On squaring both sides,
(x - 1)2 = (√2 + √3)2
⇒ x2 - 2x + 1 = 2 + 3 + 2√6
Add 3 both side
⇒ x2 - 2x + 4 = 5 + 2√6 + 3
⇒ x2 - 2x + 4 = 8 + 2√6
⇒ x2 - 2x + 4 = 2(4 + √6)
This Question Belongs to Arithmetic Ability >> Algebra
Join The Discussion