Question

if x+y=15 xy=16 find the value of x^2 +y^2​

Answer 1

Answer:

hey their hope this might be the answer for your question

Answer 2

$\huge\dag\sf\orange{Solution:}$

We know that,

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ →(15)^{2} = {x}^{2} + {y}^{2} +2(16) \\ →225 = {x}^{2} + {y}^{2} + 32 \\ → {x}^{2} + {y}^{2} = 225 - 32 \\ → {x}^{2} + {y}^{2} = 193$

$\color{red}{By \: Divyanshu}$