If x+y=12 and xy =32,find the …
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Posted by Vaibhav Mittal 4 years, 5 months ago
- 3 answers
Yogita Ingle 4 years, 5 months ago
x+y=12 ------(1)
Squaring equation 1 on both sides
(x+y)² = 12²-----(2)
(a+b)²=a²+2ab+b²
Now comparing (x+y)² with (a+b)² here a=x and b=y
So Equation 2 becomes
(x+y)² = 12²
x²+2xy+y² =12²
x²+y² = 144 - 2xy----(3)
But in question its given that xy= 32
So, substituting xy = 32 in equation 3
x²+y² =144-2*32
x²+y² =144-64 = 80.
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Rashi ?? 4 years, 5 months ago
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