Question

Given that x-y = 8 xy =5

find the value of x²+y²
​

Answer 1

Answer:

Given,

⟹ x-y = 8 xy =5

⟹ (x - y)² = x² + y² - 2xy

⟹

⟹ 8² = x² + y² -2(5)

⟹ x² + y² = 64 + 10

⟹ x² + y² = 74

Answer 2

Answer:

x²+y² = 74

Step-by-step explanation:

Given,

x-y = 8

xy = 5

Now,

(x-y)² = x²+y²-2xy

8² = x²+y² -2(5)

64 = x²+y² -10

x²+y² = 64+10

x²+y² = 74