1. {a^2+b^2=100 {a+b=14 2. {a+b=49 {a^2+b^2=1681

Question

1. {a^2+b^2=100 {a+b=14 2. {a+b=49 {a^2+b^2=1681

Answer 1

1. a=14-b
(14-b)^2+b^2=100
196-28b+b^2+b^2=100
2b^2-28b+96=0
b^2-14b+48=0

b1=6 a1=8
b2=8 a2=6

2. a=49-b
(49-b)^2+b^2=1681
2401-98b+b^2+b^2=1681
2b^2-98b+720=0
b^2-49b+360=0
b1=9 a1=40
b2=40 a2=9