If x - y = 12 and xy = 133, Find x^2+ y^2?
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Step-by-step explanation:
=>X-Y=7
=>X^3-Y^3=133
TO FIND
X^2+Y^2=????
APPLYING FORMULA
=>(X-Y)^3=X^3-Y^3-3XY(X-Y)
=>(7)^3=133-3XY(7)
=>343-133=-21X.Y
=>-210=21X.Y
=>X.Y=-10
NOW :-
(X-Y)^2=X^2+Y^2-2X.Y
49=X^2+Y^2-(-20)
X^2+Y^2=>49-20
X^2+Y^2=29
MAY MY ANSWER HELP YOU :)
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