Question

if x-y = 5 and xy=24 find the value of x+y

Answer 1

Answer is ±11
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.
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See the attachment for solution

Answer 2

Answer:

x+y = ±11

Explanation:

It is given that,

x-y=5 -----(1)

xy = 24 ----(2)

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we know the algebraic identity:

(x+y)² = (x-y)²+4xy

______________________

(x+y)²

= (x-y)²+4xy

= 5²+4×24

= 25+96

= 121

Now ,

x+y = ±√121

=> x+y = ±11

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