If (x+y)=11 and xy=30 find the value of x^(2)+y^(2)

Question

If (x+y)=11 and xy=30 find the value of
`x^(2)`+
`y^(2)`

Answer 1

x = 5 and y = 6

x = 6 and y = 5

thus x^2+y^2 = 25+36 = 61

Explanation: