Question

If x - y = 6 and xy = 10 find the value of x^2+y^2​

Answer 1

Answer:

x+y=6 (1)

x-y=4 (2)

After eliminating

We get 2x=10

X=5

Putting value of x in eq (1)

We get y=1

Then(i) x²+y²=(5)²+(1)²

=25+1=26

ii)xy=5*1=5

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Answer 2

Answer:

x^2+y^2 = 56

Step-by-step explanation:

(x-y)^2= x^2+y^2-2xy

(x-y)^2= x^2+y^2-2×10

6^2=x^2+y^2-20

36=x^2+y^2-20

36+20=x^2+y^2

56=x^2+y^2