If 2 + =1 ( 2 ) , then 7 +6 is equal to:

Step-by-step solution

Given 2 + =1 Squaring both sides, we get aligned &(2 + )^2=1^2 & 4 ^2 + ^2 +4 =1 & 3 ^2 + ( ^2 + ^2 )+4 &=1 & 3 ^2 + +4 =1 & 3 ^2 +4 =0 & (3 +4 )=0 & 3 +4 =0 & 3 =-4 & -3 4 = = ^2 -1 = -3 4 & ( ^2 = ^2 -1 ) & ^2 -1= ( -3 4 )^2= 9 16 & 2 = 9 16 +1= 25 16 = 5 4 aligned or = 4 5 Now, ^2 + ^2 =1 aligned & ^2 + ( 4 5 )^2=1 & ^2 + 4 5 =1 ^2 =1- 16 25 = 9 25 & = 3 5 aligned Taking ( =+ 3 5 ) because ( =- 3 5 ) cannot satisfy the given equation. Therefore; 7 +6 =7 4 5 +6 3 5 = 28 5 + 18 5 = 46 5