Question

x+y=8 and xy=15 find x^2+y^2​

Answer 1

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Answer:

34

Step-by-step explanation:

x + y = 8

x = 8 - y .....(1)

xy = 15

(8-y)(y) = 15

-y^2 + 8y -15 = 0

y^2 - 8y + 15 = 0

y^2 - 5y - 3y + 15

(y-5)(y-3) = 0

y = 5,3....(2)

if y = 5 then, x = 3

if y = 3 then, x = 5

therefore, x^2 + y^2 = 5^2 + 3^2 = 25+9 = 34

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