Suppose [0, 4 ] is a solution of 4 -3 =1 . Then is equal to :

Step-by-step solution

4 ( 1- ^2 / 2 1+ ^2 / 2 )-3 ( 2 2 1+ ^2 2 )=1 let 2 = t aligned & 4-4 t^2-6 t 1+t^2 =1 & 4-4 t^2-6 t=1+t^2 aligned aligned & 5 t^2+6 t-3=0 & t= -6 36-4(5)(-3) 2(5) & = -6 96 10 & = -6 4 6 10 & t= -3+2 6 5 & = 1-t^2 1+t^2 = 1- ( 2 6 -3 5 )^2 1+ ( 2 6 -3 5 )^2 = 1- ( 24+9-12 6 25 ) 1+ ( 24+9-12 6 25 ) & = 25-33+12 6 25+33-12 6 = 12 6 -8 58-12 6 = 6 6 -4 29-6 6 29+6 6 29+6 6 & = 100+150 6 625 = 4+6 6 25 4-6 6 4-6 6 & = -200 25(4-6 6 ) = -8 4-6 6 = 4 3 6 -2 aligned