Question

If x+y = 12 and xy = 32 then x² + y² is equal to (a) 180 (b) 80 (c) 18 (d) 10​

Answer 1

Answer:

80

Step-by-step explanation:

We know that (x+y)² = x²+2xy+y²

We know that (x+y)² = x²+2xy+y²Therefore 12² = x²+(2×32)+y²

We know that (x+y)² = x²+2xy+y²Therefore 12² = x²+(2×32)+y²144 = x²+y²+64

We know that (x+y)² = x²+2xy+y²Therefore 12² = x²+(2×32)+y²144 = x²+y²+64Implies x²+y² = 144-64 = 80

Hope this helps !

Answer 2

Answer:

✬Formula used:

(a+b)²=a²+2ab+b²

✬Solution:

Given,

x+y=12

xy=32

⟶(12)²= x²+2(32)+y²

⟶144-64=x²+y²

⟶80=x²+y²

Therefore, The Answer is 80.

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