Question

Please explain in detail how to evaluate:
Find $x^{2}+y^{2}$ If $x+y=7$ and $xy=10$

Answer 1

Step-by-step explanation:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ here \: {x}^{2} + {y}^{2} \: to \: find \\ \\ x + y = 7......xy = 10 \\ \\ putting \: values \: in \: equation \\ \\{ (x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$

$(7){}^{2} = {x}^{2} + {y}^{2} + 2(10) \\ 49 = {x}^{2} + {y}^{2} + 20 \\ 29 = {x}^{2} + {y}^{2} \\ \\ thus \: 29 \: is \: your \: answer$

Answer 2

Answer:

Here you go...................