Answer:
The two integers are 11 and 9.
Step-by-step explanation:
So i made to equations where the larger integer is x and the smaller one is y:
x-y=2
x^2+y=130
Then I added the equations, cancelling out the y. Then I was left with:
x^2+x=132
Then I used factoring to solve teh quadratic equation:
x^2+x-132=0
x^2-11x+12x-132=0
x(x-11)+12(x-11)=0
(x+12)(x-11)=0
So, x is equal to -12 or 11.
The question says that the numbers are positive so it cannot be -12.
Therefore, is equal to 11, and when you plug it back in, y is 9.
I hope this was helpful!!