Question

if X + Y= 15 and xy= 14 what is the value of x square + Y square

Answer 1

Answer:

$x^2+y^2=197$

Step-by-step explanation:

Given

x+y=15

xy=14

Now$(x+y)^{2} =(x)^{2}+(y)^{2}+2xy\\x^2 +y^2 =(x+y)^2 -2xy\\x^2+y^2=15^2-2*14=225-28=197$