passpadi

2008

Mathematics

JAMB

If (1+√2)/(1-√2) is expressed in the form of x+y√2 find the values of x and y

A.

(-3, -2)

B.

. (-2, 3)

C.

(3,2)

D.

(2,-3)

Correct Answer: (-3, -2)

Explanation

(1+√2)/(1-√2) × (1+√2)/(1+√2) = (1+(1+√2)+√2(1+√2))/(12-(√2 )2 )=((1+√2+√2+2))/(1-2)=(3+2√2)/(-1)=-3-2√2∴XandY=-3and-2

(1+√2)/(1-√2) × (1+√2)/(1+√2) = (1+(1+√2)+√2(1+√2))/(12-(√2 )2 )=((1+√2+√2+2))/(1-2)=(3+2√2)/(-1)=-3-2√2∴XandY=-3and-2
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