2 years ago

If x-y=9 and xy=2,find the value of (x square + y square)

Mathematics

1 answer:

kati45 [8]2 years ago

3 0

Answer:

x² + y² = 85

Step-by-step explanation:

Using the expansion

(x - y)² = x² + y² - 2xy , then

x² + y² - 2xy = (x - y)² ( add 2xy to both sides )

x² + y² = (x - y)² + 2xy ← substitute given values

= 9² + 2(2)

= 81 + 4

= 85

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