SOLUTION: Help me to find the root of (x-2)(x-3) = 155*78/77^2

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Question 759579: Help me to find the root of (x-2)(x-3) = 155*78/77^2
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The righthand number is inconvenient. Just assign it to a variable and then work with it that way through most of the solution. You cannot reduce 155*78/77^2.

Let k=155*78/77^2

x%5E2-5x%2B6=k
x%5E2-5x%2B%286-k%29=0
x=%285-sqrt%284%286-k%29%29%29%2F2 or x=%285%2Bsqrt%284%286-k%29%29%29%2F2

Maybe work with the square root before simplifying, or this may be most of the needed simplifying.
, and that might or might not be more simplifiable.... 3*1957 ?
3%2A1957=3%2A19%2A103, so not much more can be done with the square root.