If x = 3 + 1 and y = 3 - 1, then (x2 + y2) has the following value: 3 - 1 3 + 1
A. 10
B. 13
C. 14
D.15
Answer:C
If x = 3 + 1 and y = 3 - 1, then (x2 + y2) has the following value: 3 - 1 3 + 1
A. 10 B. 13 C. 14 D.15
Explanation: x = root (3 + 1)/(3 + 1) x (3 + 1)/ (3 + 1)= (3 + 1) x (3 + 1)/ (3 + 1)= (3 + 1).3 + 1+ 23= 2 + 3 = 2/(3 + 1 )/2 = 3 + 1+ 23= 2 + 3.(3 - 1)/(3 + 1) y = (3 - 1)/(3 + 1) x (3 - 1)/(3 - 1) = (3 - 1)=3 + 1 - 23/2 = 2 - 3. 2/(3 - 1) = 3 + 1 - 23/2 = 2 - 3.=(2 + 3) = x2 + y2=2 + 2 (2 - 3)=2= 2(4 + 3) + 2(4 + 3) + 2(4 + 3).equals 14.