Question

Two integers differ by 6 and sum of thier sqaure is 356 .find the integer

Answer 1

Answer:

Let the integers be X and Y

X-Y=6

X=6+Y

X²+Y²=356

(6+Y)²+Y²=356

36+12Y+Y²+Y²=356

2Y²+12Y-320=0

Solving the equation, we get

Y=-16 or Y=10

X=-10 or X=16