The difference between the squares of two number is 7. Twice the square of the first number increased by the square of the second number is 41. Find the numbers

,xzgv

step-by-step explanation:

; oqirjg'

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus