Question

If a^2−b^2=2352 and a^2+b^2=5090 then what is the value of 29ab?

Answer 1

a^2−b^2=2352 ------ 1
a^2+b^2=5090 ------ 2
1 + 2
2a^2 = 7442
a = 61 ------- 3
Sub 3 in 2
b = 37
29ab = 29 × 61 × 37 = 65453.