if x+ y= 4 and x²+y²=7, then find the value of xy
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Answered by
3
The value of xy is 4.5.
Step-by-step explanation:
The expansion of (a + b)² is:
(a + b)² = a² + 2ab + b²
It is provided that:
(x + y) = 4
(x² + y²) = 7
Compute the value of xy as follows:
(x + y)² = x² + 2xy + y²
(x + y)² = x² + y² + 2xy
(4)² = 7 + 2xy
16 - 7 = 2xy
9 = 2xy
xy = 4.5
Thus, the value of xy is 4.5.
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Answered by
2
Answer:
x + y = 4
x² + y² = ( x + y )² - 2xy
7 = (4)² - 2xy
7 = 16 - 2xy
2xy = 16 - 7
xy = 9
xy = 9/2
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