Find x^2 + y^2, if x+y=-14 and xy=84.
Answers
Answered by
78
since, ( x+y )² = x² + y² + 2xy
and , x+y = -14 and xy = 84
now putting the values in the equation
( -14 )² = x² + y² + 2(84)
196 = x² + y² + 168
x² + y² = 196-168
x² + y² = 28
and , x+y = -14 and xy = 84
now putting the values in the equation
( -14 )² = x² + y² + 2(84)
196 = x² + y² + 168
x² + y² = 196-168
x² + y² = 28
Answered by
9
Step-by-step explanation:
As we know
(x+y)²=x²+2xy+y²
Substitute the values as per given
x²+ 2(84) +y² = (-14)
x²+ y²+ 168= 196
x² +y² = 196-168
x² + y²= 28
HOPE THIS ANSWER HELPS YOU
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