if x+y=-4 and xy=2 then find x^2+y^2
Answers
Answered by
3
Answer:
Step-by-step explanation:
(x + y) = 4
Squaring both sides
(x + y)^2 = 4^2
x^2 + y^2 + 2xy =16
Substituting value of xy = 2 in the above equation we get
x^2 + y^2 + 2 × 2 = 16
x^2 + t^2 + 4 = 16
x^2 + y^2 = 16 - 4
x^2 + y^2 = 12
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Answered by
1
Answer:
use (x+y)^2=(-4)^2
Step-by-step explanation:
(x+y)^2 = (-4)^2
x^2+y^2+2xy = 16
SUBSTITUTING VALUES
x^2+y^2+2(2) = 16
x^2+y^2 = 16-4
x^2+y^2 = 12
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