Answer:
Let the two parts be x and (29 - x).
We know that the sum of squares of the parts is 425, so we can write the equation:
x^2 + (29 - x)^2 = 425
Expanding the equation, we get:
x^2 + 841 - 58x + x^2 = 425
Combine like terms:
2x^2 - 58x + 416 = 0
Divide by 2:
x^2 - 29x + 208 = 0
Factor the quadratic:
(x - 13)(x - 16) = 0
So, the two parts are:
x = 13 and (29 - x) = 16
Or,
x = 16 and (29 - x) = 13
Therefore, the two parts are 13 and 16.
