if X + Y is equal to minus 4 and X Y is equal to 2 then find the value
f x square + Y square
Answers
Answered by
20
Answer:
⇒ X² + Y² = 12
Step-by-step explanation:
Given :
(X + Y) = -4,
XY = 2,
Find : X² + Y²
Solution :
We know that,
(a + b)² = a² + 2ab + b²
By substituting,
a = X & b = Y,
We get,
(X + Y)² = X² + 2XY + Y²
⇒ (-4)² = X² + 2(2) + Y²
⇒ 16 = X² + Y² + 4
⇒ 16 - 4 = X² + Y²
⇒ X² + Y² = 12
Answered by
1
X+ y =-4 - - -(1)
x× y=2
on subtituting we get y=-4-x
X× -4-x=2
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