Math, asked by snsathya2003, 1 year ago

If x is equal to 1 + root 2 then find the value of expression x power 4 - x cube - 2 x square - 3 x + 1

Answers

Answered by vigyan10
0

x=1+ √2

Formula

(a+b)² = a² + b² +2ab

(a+b)³ = a³ + b³ + 3a²b + 3ab²

Let Y = x⁴ + x³ - 2x² - 3x +1

x⁴ = [(1+√2)²]²

= [ (1+2+2√2)]²

= [3+2√2]²

= [9+ 8+ 12√2]

= 17+12√2

x³ = (1+√2 )³

= (1 + 2√2 + 3√2 + 6)

= ( 7 + 5√2 )

2x² = 2( 1+√2)²

= 2(1+2+2√2)

= 2(3 + 2√2)

= 6 + 4√2

Y = (17 + 12√2) + ( 7 + 5√2 ) - (6 + 4√2)

- (3 +3√2) +1

= 16 +10√2

Similar questions