x+y =12 and xy = 32 find the value of xsuare = y square
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Answered by
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Given that: x+y=12 and xy = 32
Using the identity, (x+y)
2 = x
2 +2xy+y 2⇒ (12) 2=x
2 +64+y
2⇒ 144 = x 2 +y 2+64⇒ 144−64 = x+y 2⇒ 80 = x 2 +y 2
The answer is x 2 +y 2
= 80
hope it helps you.
Answered by
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Answer:
X + y = 12 1st equation
xy = 32 2nd equation
X = 12 - y
put the value of X in 2nd equation
xy = 32
(12 - y) y = 32
12y - y^2 - 32
y^2 - 12y + 32
y^2 - 8y - 4y + 32
y ( y -8). -4 ( y -8)
(y-4). (y - 8)
y = 4
y = 8
X+ y = 12
X + 8 = 12
X = 12- 8
X = 4
X square = 4× 4 = 16
y square = 8 × 8 = 64
Step-by-step explanation:
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