Question

x+y=√13,x-y=√5 then xy=?
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Answer 1

Answer:

x+y = √13

x-y = √5

x = (√13+√5)/2

y = (√13-√5)/2

xy = (13-5)/4 = 8/4 = 2

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Answer 2

Answer:

4.5

Explanation step by step:

x+y=√13

squaring on both sides

(x+y)^2=13

x-y=√5

squaring on both sides

(x-y)^2=5

expand using their respective formulae

x^2+y^2+2xy=13-->eq1

x^2+y^2-2xy=5-->eq2

substract eq2 from eq1

WE get

4xy =18

xy=18/4

xy =4.5