The sum of 2 numbers is 9 and the product of these same 2 numbers is 20. What is the sum of the squares of these 2 numbers? The sum of 2 numbers is 9 and the product of these same 2 numbers is 20. What is the sum of the squares of these 2 numbers?
We have $a+b=9,ab=20$

We need $a^2+b^2$ which equals to $(a+b)^2-2\cdot ab$
if you want to find the values of $a$ and$b$ and further solve.$a$ and $b$ are the roots of the quadratic equation $$x^2-(a+b)x+ab=0$$ie$$x^2-9x+20=0$$which are$5$ and$4$.   further $4^2+5^2=41$