Explanation

We are given:

• $x+y=6$

• $xy=5$

We are asked to find:
$x^2 + y^2$

Step-by-step solution:

Use the identity:

x^2+y^2=(x+y)^2−2xy

Substitute the given values:

$$$$x^2+y^2=(6)^2−2(5)=36−10=26