Question

find the value of xy if x+y=3,x²+y²=5
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Answer 1

Answer:

2.

Step-by-step explanation:

(x+y)² = x² + y² + 2xy.

Given, x + y = 3 and x² + y² = 5.

Substitute this in the above equation,

3² = 5 + 2xy

2xy = 9-5

2xy = 4

∴xy = 2.

Answer 2

Answer:

2

Step-by-step explanation:

x+y= 3

x+y= 3x² + y² = 5

x+y= 3x² + y² = 5xy = ?

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xy

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy(3)² = 5 + 2xy

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy(3)² = 5 + 2xy9 = 5 + 2xy

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy(3)² = 5 + 2xy9 = 5 + 2xy2xy = 9 - 5

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy(3)² = 5 + 2xy9 = 5 + 2xy2xy = 9 - 52xy = 4

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy(3)² = 5 + 2xy9 = 5 + 2xy2xy = 9 - 52xy = 4xy = 4/2

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy(3)² = 5 + 2xy9 = 5 + 2xy2xy = 9 - 52xy = 4xy = 4/2xy = 2

x+y= 3x² + y² = 5xy = ?We have to find the value of xy, then we should use the formula of (x+y)² = x² + y² + 2xySubstitute the value in the identity.(x+y)² = x² + y² + 2xy(3)² = 5 + 2xy9 = 5 + 2xy2xy = 9 - 52xy = 4xy = 4/2xy = 2Therefore, the value of xy is 2