Asked by Emmanuel
Make x the subject of the formula. Xy^2-4p*y=k*m -x*y
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Answered by
GPT-5 mini
AI
Start from x y^2 - 4p y = k m - x y.
Bring x-terms to one side:
x y^2 + x y - 4 p y = k m
Factor x:
x (y^2 + y) = k m + 4 p y
Thus
x = (k m + 4 p y) / (y^2 + y) = (k m + 4 p y) / (y(y+1)).
Notes: y(y+1) must not be 0. If y = 0 the equation reduces to 0 = k m (so a solution exists for any x only when k m = 0). If y = −1 the equation reduces to 4 p = k m (so any x works only when 4 p = k m).
Bring x-terms to one side:
x y^2 + x y - 4 p y = k m
Factor x:
x (y^2 + y) = k m + 4 p y
Thus
x = (k m + 4 p y) / (y^2 + y) = (k m + 4 p y) / (y(y+1)).
Notes: y(y+1) must not be 0. If y = 0 the equation reduces to 0 = k m (so a solution exists for any x only when k m = 0). If y = −1 the equation reduces to 4 p = k m (so any x works only when 4 p = k m).
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