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looks easy at first, but is totally not...
a and b are 50+10*sqrt(15) and 50-10*sqrt(15)

initially when I first saw the question , I was like "oh yeah so simple "..but few minutes later I realized how complicated the maths was.

Could not solve it.

I will give a shot later, busy at the moment.

The snap looks so thrilling. It took a while before it loaded on my end lol
image.png

b^2 - 100b + 1000 = 0

by quadratic formula

(-b +- sqrt(b^2-4ac))/2a

solved.

a=50±10
15
b=50∓10
15

​Yes, I am smart enough to solve this! 😊

a or b = (100±77.46)/2